-7(6n+7)=31-2n

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Solution for -7(6n+7)=31-2n equation:


Simplifying
-7(6n + 7) = 31 + -2n

Reorder the terms:
-7(7 + 6n) = 31 + -2n
(7 * -7 + 6n * -7) = 31 + -2n
(-49 + -42n) = 31 + -2n

Solving
-49 + -42n = 31 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-49 + -42n + 2n = 31 + -2n + 2n

Combine like terms: -42n + 2n = -40n
-49 + -40n = 31 + -2n + 2n

Combine like terms: -2n + 2n = 0
-49 + -40n = 31 + 0
-49 + -40n = 31

Add '49' to each side of the equation.
-49 + 49 + -40n = 31 + 49

Combine like terms: -49 + 49 = 0
0 + -40n = 31 + 49
-40n = 31 + 49

Combine like terms: 31 + 49 = 80
-40n = 80

Divide each side by '-40'.
n = -2

Simplifying
n = -2

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