-13+n=-5(n+7)-2

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Solution for -13+n=-5(n+7)-2 equation:


Simplifying
-13 + n = -5(n + 7) + -2

Reorder the terms:
-13 + n = -5(7 + n) + -2
-13 + n = (7 * -5 + n * -5) + -2
-13 + n = (-35 + -5n) + -2

Reorder the terms:
-13 + n = -35 + -2 + -5n

Combine like terms: -35 + -2 = -37
-13 + n = -37 + -5n

Solving
-13 + n = -37 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-13 + n + 5n = -37 + -5n + 5n

Combine like terms: n + 5n = 6n
-13 + 6n = -37 + -5n + 5n

Combine like terms: -5n + 5n = 0
-13 + 6n = -37 + 0
-13 + 6n = -37

Add '13' to each side of the equation.
-13 + 13 + 6n = -37 + 13

Combine like terms: -13 + 13 = 0
0 + 6n = -37 + 13
6n = -37 + 13

Combine like terms: -37 + 13 = -24
6n = -24

Divide each side by '6'.
n = -4

Simplifying
n = -4

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