-7n-30=-8(n+6)-2n

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Solution for -7n-30=-8(n+6)-2n equation:


Simplifying
-7n + -30 = -8(n + 6) + -2n

Reorder the terms:
-30 + -7n = -8(n + 6) + -2n

Reorder the terms:
-30 + -7n = -8(6 + n) + -2n
-30 + -7n = (6 * -8 + n * -8) + -2n
-30 + -7n = (-48 + -8n) + -2n

Combine like terms: -8n + -2n = -10n
-30 + -7n = -48 + -10n

Solving
-30 + -7n = -48 + -10n

Solving for variable 'n'.

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

Add '10n' to each side of the equation.
-30 + -7n + 10n = -48 + -10n + 10n

Combine like terms: -7n + 10n = 3n
-30 + 3n = -48 + -10n + 10n

Combine like terms: -10n + 10n = 0
-30 + 3n = -48 + 0
-30 + 3n = -48

Add '30' to each side of the equation.
-30 + 30 + 3n = -48 + 30

Combine like terms: -30 + 30 = 0
0 + 3n = -48 + 30
3n = -48 + 30

Combine like terms: -48 + 30 = -18
3n = -18

Divide each side by '3'.
n = -6

Simplifying
n = -6

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