2(n-8)=-2(2n-7)

Solution for 2(n-8)=-2(2n-7) equation:

Simplifying
2(n + -8) = -2(2n + -7)

Reorder the terms:
2(-8 + n) = -2(2n + -7)
(-8 * 2 + n * 2) = -2(2n + -7)
(-16 + 2n) = -2(2n + -7)

Reorder the terms:
-16 + 2n = -2(-7 + 2n)
-16 + 2n = (-7 * -2 + 2n * -2)
-16 + 2n = (14 + -4n)

Solving
-16 + 2n = 14 + -4n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '4n' to each side of the equation.
-16 + 2n + 4n = 14 + -4n + 4n

Combine like terms: 2n + 4n = 6n
-16 + 6n = 14 + -4n + 4n

Combine like terms: -4n + 4n = 0
-16 + 6n = 14 + 0
-16 + 6n = 14

Add '16' to each side of the equation.
-16 + 16 + 6n = 14 + 16

Combine like terms: -16 + 16 = 0
0 + 6n = 14 + 16
6n = 14 + 16

Combine like terms: 14 + 16 = 30
6n = 30

Divide each side by '6'.
n = 5

Simplifying
n = 5