4(8n-7)-4=-8(8-6n)

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Solution for 4(8n-7)-4=-8(8-6n) equation:


Simplifying
4(8n + -7) + -4 = -8(8 + -6n)

Reorder the terms:
4(-7 + 8n) + -4 = -8(8 + -6n)
(-7 * 4 + 8n * 4) + -4 = -8(8 + -6n)
(-28 + 32n) + -4 = -8(8 + -6n)

Reorder the terms:
-28 + -4 + 32n = -8(8 + -6n)

Combine like terms: -28 + -4 = -32
-32 + 32n = -8(8 + -6n)
-32 + 32n = (8 * -8 + -6n * -8)
-32 + 32n = (-64 + 48n)

Solving
-32 + 32n = -64 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
-32 + 32n + -48n = -64 + 48n + -48n

Combine like terms: 32n + -48n = -16n
-32 + -16n = -64 + 48n + -48n

Combine like terms: 48n + -48n = 0
-32 + -16n = -64 + 0
-32 + -16n = -64

Add '32' to each side of the equation.
-32 + 32 + -16n = -64 + 32

Combine like terms: -32 + 32 = 0
0 + -16n = -64 + 32
-16n = -64 + 32

Combine like terms: -64 + 32 = -32
-16n = -32

Divide each side by '-16'.
n = 2

Simplifying
n = 2

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