-7(n+4)+31=-3n-9

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Solution for -7(n+4)+31=-3n-9 equation:


Simplifying
-7(n + 4) + 31 = -3n + -9

Reorder the terms:
-7(4 + n) + 31 = -3n + -9
(4 * -7 + n * -7) + 31 = -3n + -9
(-28 + -7n) + 31 = -3n + -9

Reorder the terms:
-28 + 31 + -7n = -3n + -9

Combine like terms: -28 + 31 = 3
3 + -7n = -3n + -9

Reorder the terms:
3 + -7n = -9 + -3n

Solving
3 + -7n = -9 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
3 + -7n + 3n = -9 + -3n + 3n

Combine like terms: -7n + 3n = -4n
3 + -4n = -9 + -3n + 3n

Combine like terms: -3n + 3n = 0
3 + -4n = -9 + 0
3 + -4n = -9

Add '-3' to each side of the equation.
3 + -3 + -4n = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -4n = -9 + -3
-4n = -9 + -3

Combine like terms: -9 + -3 = -12
-4n = -12

Divide each side by '-4'.
n = 3

Simplifying
n = 3

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