6(2n-4)-8n+12=2n+40

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Solution for 6(2n-4)-8n+12=2n+40 equation:


Simplifying
6(2n + -4) + -8n + 12 = 2n + 40

Reorder the terms:
6(-4 + 2n) + -8n + 12 = 2n + 40
(-4 * 6 + 2n * 6) + -8n + 12 = 2n + 40
(-24 + 12n) + -8n + 12 = 2n + 40

Reorder the terms:
-24 + 12 + 12n + -8n = 2n + 40

Combine like terms: -24 + 12 = -12
-12 + 12n + -8n = 2n + 40

Combine like terms: 12n + -8n = 4n
-12 + 4n = 2n + 40

Reorder the terms:
-12 + 4n = 40 + 2n

Solving
-12 + 4n = 40 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-12 + 4n + -2n = 40 + 2n + -2n

Combine like terms: 4n + -2n = 2n
-12 + 2n = 40 + 2n + -2n

Combine like terms: 2n + -2n = 0
-12 + 2n = 40 + 0
-12 + 2n = 40

Add '12' to each side of the equation.
-12 + 12 + 2n = 40 + 12

Combine like terms: -12 + 12 = 0
0 + 2n = 40 + 12
2n = 40 + 12

Combine like terms: 40 + 12 = 52
2n = 52

Divide each side by '2'.
n = 26

Simplifying
n = 26

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