6(7n+2)+8n=-6n+12

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Solution for 6(7n+2)+8n=-6n+12 equation:


Simplifying
6(7n + 2) + 8n = -6n + 12

Reorder the terms:
6(2 + 7n) + 8n = -6n + 12
(2 * 6 + 7n * 6) + 8n = -6n + 12
(12 + 42n) + 8n = -6n + 12

Combine like terms: 42n + 8n = 50n
12 + 50n = -6n + 12

Reorder the terms:
12 + 50n = 12 + -6n

Add '-12' to each side of the equation.
12 + -12 + 50n = 12 + -12 + -6n

Combine like terms: 12 + -12 = 0
0 + 50n = 12 + -12 + -6n
50n = 12 + -12 + -6n

Combine like terms: 12 + -12 = 0
50n = 0 + -6n
50n = -6n

Solving
50n = -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
50n + 6n = -6n + 6n

Combine like terms: 50n + 6n = 56n
56n = -6n + 6n

Combine like terms: -6n + 6n = 0
56n = 0

Divide each side by '56'.
n = 0

Simplifying
n = 0

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