-37-8n=6n+7(1+6n)

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Solution for -37-8n=6n+7(1+6n) equation:


Simplifying
-37 + -8n = 6n + 7(1 + 6n)
-37 + -8n = 6n + (1 * 7 + 6n * 7)
-37 + -8n = 6n + (7 + 42n)

Reorder the terms:
-37 + -8n = 7 + 6n + 42n

Combine like terms: 6n + 42n = 48n
-37 + -8n = 7 + 48n

Solving
-37 + -8n = 7 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
-37 + -8n + -48n = 7 + 48n + -48n

Combine like terms: -8n + -48n = -56n
-37 + -56n = 7 + 48n + -48n

Combine like terms: 48n + -48n = 0
-37 + -56n = 7 + 0
-37 + -56n = 7

Add '37' to each side of the equation.
-37 + 37 + -56n = 7 + 37

Combine like terms: -37 + 37 = 0
0 + -56n = 7 + 37
-56n = 7 + 37

Combine like terms: 7 + 37 = 44
-56n = 44

Divide each side by '-56'.
n = -0.7857142857

Simplifying
n = -0.7857142857

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