8(7n+9)-6n=14-8n

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Solution for 8(7n+9)-6n=14-8n equation:


Simplifying
8(7n + 9) + -6n = 14 + -8n

Reorder the terms:
8(9 + 7n) + -6n = 14 + -8n
(9 * 8 + 7n * 8) + -6n = 14 + -8n
(72 + 56n) + -6n = 14 + -8n

Combine like terms: 56n + -6n = 50n
72 + 50n = 14 + -8n

Solving
72 + 50n = 14 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
72 + 50n + 8n = 14 + -8n + 8n

Combine like terms: 50n + 8n = 58n
72 + 58n = 14 + -8n + 8n

Combine like terms: -8n + 8n = 0
72 + 58n = 14 + 0
72 + 58n = 14

Add '-72' to each side of the equation.
72 + -72 + 58n = 14 + -72

Combine like terms: 72 + -72 = 0
0 + 58n = 14 + -72
58n = 14 + -72

Combine like terms: 14 + -72 = -58
58n = -58

Divide each side by '58'.
n = -1

Simplifying
n = -1

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