Answer: r = 9
Step-by-step explanation:
2(4 - 2r) = -2(r + 5)
8 - 4r = -2r - 10 distributed
8 = 2r - 10 added 4r to both sides
18 = 2r added 10 to both sides
9 = r divided both sides by 2
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Identity is when you end up with a TRUE statement after moving the x-values to one side of the equation.
For example: 2x + 2 = 2(x + 1)
2x + 2 = 2x + 2 distributed
2 = 2 subtracted 2x from both sides
TRUE so x is all real numbers
No Solution is when you end up with a FALSE statement after moving the x-values to one side of the equation.
For example: 2x + 1 = 2(x + 1)
2x + 1 = 2x + 2 distributed
1 = 2 subtracted 2x from both sides
FALSE so there are no solutions
