-5(n+2)+12=-2n-10

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Solution for -5(n+2)+12=-2n-10 equation:


Simplifying
-5(n + 2) + 12 = -2n + -10

Reorder the terms:
-5(2 + n) + 12 = -2n + -10
(2 * -5 + n * -5) + 12 = -2n + -10
(-10 + -5n) + 12 = -2n + -10

Reorder the terms:
-10 + 12 + -5n = -2n + -10

Combine like terms: -10 + 12 = 2
2 + -5n = -2n + -10

Reorder the terms:
2 + -5n = -10 + -2n

Solving
2 + -5n = -10 + -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.
2 + -5n + 2n = -10 + -2n + 2n

Combine like terms: -5n + 2n = -3n
2 + -3n = -10 + -2n + 2n

Combine like terms: -2n + 2n = 0
2 + -3n = -10 + 0
2 + -3n = -10

Add '-2' to each side of the equation.
2 + -2 + -3n = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = -10 + -2
-3n = -10 + -2

Combine like terms: -10 + -2 = -12
-3n = -12

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

Simplifying
n = 4

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