-8n-13=-7(1n+7)-7n

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Solution for -8n-13=-7(1n+7)-7n equation:


Simplifying
-8n + -13 = -7(1n + 7) + -7n

Reorder the terms:
-13 + -8n = -7(1n + 7) + -7n

Reorder the terms:
-13 + -8n = -7(7 + 1n) + -7n
-13 + -8n = (7 * -7 + 1n * -7) + -7n
-13 + -8n = (-49 + -7n) + -7n

Combine like terms: -7n + -7n = -14n
-13 + -8n = -49 + -14n

Solving
-13 + -8n = -49 + -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.
-13 + -8n + 14n = -49 + -14n + 14n

Combine like terms: -8n + 14n = 6n
-13 + 6n = -49 + -14n + 14n

Combine like terms: -14n + 14n = 0
-13 + 6n = -49 + 0
-13 + 6n = -49

Add '13' to each side of the equation.
-13 + 13 + 6n = -49 + 13

Combine like terms: -13 + 13 = 0
0 + 6n = -49 + 13
6n = -49 + 13

Combine like terms: -49 + 13 = -36
6n = -36

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

Simplifying
n = -6

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