2(-2n+8)=7(n-4)

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Solution for 2(-2n+8)=7(n-4) equation: 


Simplifying
2(-2n + 8) = 7(n + -4)

Reorder the terms:
2(8 + -2n) = 7(n + -4)
(8 * 2 + -2n * 2) = 7(n + -4)
(16 + -4n) = 7(n + -4)

Reorder the terms:
16 + -4n = 7(-4 + n)
16 + -4n = (-4 * 7 + n * 7)
16 + -4n = (-28 + 7n)

Solving
16 + -4n = -28 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
16 + -4n + -7n = -28 + 7n + -7n

Combine like terms: -4n + -7n = -11n
16 + -11n = -28 + 7n + -7n

Combine like terms: 7n + -7n = 0
16 + -11n = -28 + 0
16 + -11n = -28

Add '-16' to each side of the equation.
16 + -16 + -11n = -28 + -16

Combine like terms: 16 + -16 = 0
0 + -11n = -28 + -16
-11n = -28 + -16

Combine like terms: -28 + -16 = -44
-11n = -44

Divide each side by '-11'.
n = 4

Simplifying
n = 4

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