-7(1-6n)=8n-41

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Solution for -7(1-6n)=8n-41 equation:


Simplifying
-7(1 + -6n) = 8n + -41
(1 * -7 + -6n * -7) = 8n + -41
(-7 + 42n) = 8n + -41

Reorder the terms:
-7 + 42n = -41 + 8n

Solving
-7 + 42n = -41 + 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.
-7 + 42n + -8n = -41 + 8n + -8n

Combine like terms: 42n + -8n = 34n
-7 + 34n = -41 + 8n + -8n

Combine like terms: 8n + -8n = 0
-7 + 34n = -41 + 0
-7 + 34n = -41

Add '7' to each side of the equation.
-7 + 7 + 34n = -41 + 7

Combine like terms: -7 + 7 = 0
0 + 34n = -41 + 7
34n = -41 + 7

Combine like terms: -41 + 7 = -34
34n = -34

Divide each side by '34'.
n = -1

Simplifying
n = -1

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