Answer:
n = 6
Step-by-step explanation:
Simplify [tex]\frac{1}{2}[/tex] · [tex](n-4)-7[/tex]
n/2 -2 -7 =-2n +6
n/2 - 9+ -2n +6
Move all terms containing n to the left side of the equation.
n/2 - 9 +2n =6
To write 2
n as a fraction with a common denominator, multiply by
n/2 + 2n *(2/2) -9 = 6
combine 2n and (2/2)
n/2 + (2n*2)/2 -9 = 6
Combine the numerators over the common denominator.
(n+2n*2)/2 - 9 = 6
Simplify each term.
(n(1+2*2))/2 - 9 = 6
(n(1+4))/2 -9 = 6
(n*5)/ 2 - 9 = 6
5n/2 - 9 =6
Move all terms not containing n to the right side of the equation.
Add 9 to both sides of the equation.
5n/2 = 6 + 9
5n/2 = 15
Multiply both sides of the equation by 2/5
2/5 * 5n/2 = 2/5 *15
Simplify both sides of the equation.
2/5 * 5n/2
Cancel the common factor of 2
Cancel the common factor of 5
n = 2/5 *15
Cancel the common factor of 5
n = 2 * 3
Multiply
n = 6
.
