9) [tex]3 + 5n = 1 + 8n + 2[/tex] | subtract 5 on both sides, and solve 8n and -5n
[tex]3 = 1 + 3n + 2[/tex] | combine like terms, add 2 and 1
[tex]3 = 3n + 3[/tex] | subtract 3 on both sides, and solve 3 and -3
[tex]0 = 3n[/tex] | divide by 3n
[tex]0 = n[/tex] | final answer
10) [tex]5x + 12 = 4x + 6[/tex] | subtract 4x on both sides, solve -4x and 5x
[tex]x + 12 = 6[/tex] | subtract 12 on both sides, solve -12 and 6
[tex]x = -6[/tex] | final answer
11) [tex]-8x - 4 = 7 (-2 - 4x) + 4x[/tex] | distribute 7 into the parentheses
[tex]-8x - 4 = -14 - 28x + 4x[/tex] | combine like terms
[tex]-8x - 4 = -14 - 24x[/tex] | add 8x on both sides, and solve 8x and -24x
[tex]-4 = -14 - 16x[/tex] | add -14 on both sides, and solve 14 and -4
[tex]10 = -16x[/tex] | divide by -16 on both sides, and solve
[tex]-0.625 = x[/tex] | final answer
12) [tex]16 - 2n = - 8 + 4 (n - 3)[/tex] | distribute 4 into the parentheses
[tex]16 - 2n = -8 + 4n - 12[/tex] | combine like terms
[tex]16 - 2n = 4n - 4[/tex] | add 2n on both sides, and solve 2n and 4n
[tex]16 = 6n - 4[/tex] | add 4 on both sides, and solve 4 and 16
[tex]20 = 6n[/tex] | divide by 6 on both sides, and solve
[tex]3.33333 = n[/tex] | final answer (repeated)
13) [tex]-6 (3 - 6r) = -18 + 4r[/tex] | distribute -6 into the parentheses
[tex]-18 + 36r = -18 + 4r[/tex] | subtract 4r on both sides, solve 36r and -4r
[tex]-18 + 32r = -18[/tex] | add -18 on both sides, solve -18 and 18
[tex]32r = 0[/tex] | divide by 32 on both sides, and solve.
[tex]r = 0[/tex] | final answer
14) [tex]4 (3b - 1) = 9 - b[/tex] | distribute 4 into the parentheses
[tex]12b - 4 = 9 - b[/tex] | add -b on both sides, solbe 12 and b
[tex]13b - 4 = 9[/tex] | add -4 on both sides, solve 9 and 4
[tex]13b = 13[/tex] | divide 13 on both sides, solve
[tex]b = 1[/tex] | final answer
15) [tex]-6x + 7 (1 - x) = -4 (x - 4)[/tex] | distribute 7 into parentheses
[tex]-6x + 7 - x = -4 (x - 4)[/tex] | distribute -4 into the parentheses
[tex]-6x + 7 - x = -4x + 16[/tex] | combine like terms
[tex]-5x + 7 = -4x + 16[/tex] | add -4x on both sides, solve -5x and 4x
[tex]-x + 7 = 16[/tex] | subtract 7 on both sides, solve 16 and -7
[tex]-x = 9[/tex] | divide by -1 on both sides, solve
[tex]x = -9[/tex] | final answer
16) [tex]5 - (8v + 5) = -4 (1 + 3v)[/tex] | distribute the - and -4 into the parentheses
[tex]5 - 8v - 5 = -4 - 12v[/tex] | combine like terms
[tex]10 + 8v = -4 - 12v[/tex] | add 12v on both sides, solve 12v and 8v
[tex]10 + 20v = -4[/tex] | subtract 10 on both sides, solve -4 and -10
[tex]20v = - 14[/tex] | divide 20 on both sides, and solve
[tex]v = -0.7[/tex] | final answer
17) [tex]-8 (4 + 4n) = 8 (n + 6)[/tex] | distribute -8 and 8 into the parentheses
[tex]-32 - 32n = 8n + 48[/tex] | add -32n to both sides, solve 32n and 8n
[tex]-32 = 40n + 48[/tex] | subtract 48 on both sides, solve -32 and -48
[tex]-80 = 40n[/tex] | divide -80 on both sides, and solve
[tex]-2 = n[/tex] | final answer
UNDER CONSTRUCTION (I WILL EDIT WHILE YOU RECIEVE THE ANSWERS)
