6n+40=6n-2(-4n+4)

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Solution for 6n+40=6n-2(-4n+4) equation: 


Simplifying
6n + 40 = 6n + -2(-4n + 4)

Reorder the terms:
40 + 6n = 6n + -2(-4n + 4)

Reorder the terms:
40 + 6n = 6n + -2(4 + -4n)
40 + 6n = 6n + (4 * -2 + -4n * -2)
40 + 6n = 6n + (-8 + 8n)

Reorder the terms:
40 + 6n = -8 + 6n + 8n

Combine like terms: 6n + 8n = 14n
40 + 6n = -8 + 14n

Solving
40 + 6n = -8 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
40 + 6n + -14n = -8 + 14n + -14n

Combine like terms: 6n + -14n = -8n
40 + -8n = -8 + 14n + -14n

Combine like terms: 14n + -14n = 0
40 + -8n = -8 + 0
40 + -8n = -8

Add '-40' to each side of the equation.
40 + -40 + -8n = -8 + -40

Combine like terms: 40 + -40 = 0
0 + -8n = -8 + -40
-8n = -8 + -40

Combine like terms: -8 + -40 = -48
-8n = -48

Divide each side by '-8'.
n = 6

Simplifying
n = 6

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