-(-n+6)+6(8n+3)=-37

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Solution for -(-n+6)+6(8n+3)=-37 equation:


Simplifying
-1(-1n + 6) + 6(8n + 3) = -37

Reorder the terms:
-1(6 + -1n) + 6(8n + 3) = -37
(6 * -1 + -1n * -1) + 6(8n + 3) = -37
(-6 + 1n) + 6(8n + 3) = -37

Reorder the terms:
-6 + 1n + 6(3 + 8n) = -37
-6 + 1n + (3 * 6 + 8n * 6) = -37
-6 + 1n + (18 + 48n) = -37

Reorder the terms:
-6 + 18 + 1n + 48n = -37

Combine like terms: -6 + 18 = 12
12 + 1n + 48n = -37

Combine like terms: 1n + 48n = 49n
12 + 49n = -37

Solving
12 + 49n = -37

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + 49n = -37 + -12

Combine like terms: 12 + -12 = 0
0 + 49n = -37 + -12
49n = -37 + -12

Combine like terms: -37 + -12 = -49
49n = -49

Divide each side by '49'.
n = -1

Simplifying
n = -1

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