-8(3n+7)=-31+n

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Solution for -8(3n+7)=-31+n equation:


Simplifying
-8(3n + 7) = -31 + n

Reorder the terms:
-8(7 + 3n) = -31 + n
(7 * -8 + 3n * -8) = -31 + n
(-56 + -24n) = -31 + n

Solving
-56 + -24n = -31 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-56 + -24n + -1n = -31 + n + -1n

Combine like terms: -24n + -1n = -25n
-56 + -25n = -31 + n + -1n

Combine like terms: n + -1n = 0
-56 + -25n = -31 + 0
-56 + -25n = -31

Add '56' to each side of the equation.
-56 + 56 + -25n = -31 + 56

Combine like terms: -56 + 56 = 0
0 + -25n = -31 + 56
-25n = -31 + 56

Combine like terms: -31 + 56 = 25
-25n = 25

Divide each side by '-25'.
n = -1

Simplifying
n = -1

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