-3(n+4)=7n-8

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Solution for -3(n+4)=7n-8 equation:


Simplifying
-3(n + 4) = 7n + -8

Reorder the terms:
-3(4 + n) = 7n + -8
(4 * -3 + n * -3) = 7n + -8
(-12 + -3n) = 7n + -8

Reorder the terms:
-12 + -3n = -8 + 7n

Solving
-12 + -3n = -8 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-12 + -3n + -7n = -8 + 7n + -7n

Combine like terms: -3n + -7n = -10n
-12 + -10n = -8 + 7n + -7n

Combine like terms: 7n + -7n = 0
-12 + -10n = -8 + 0
-12 + -10n = -8

Add '12' to each side of the equation.
-12 + 12 + -10n = -8 + 12

Combine like terms: -12 + 12 = 0
0 + -10n = -8 + 12
-10n = -8 + 12

Combine like terms: -8 + 12 = 4
-10n = 4

Divide each side by '-10'.
n = -0.4

Simplifying
n = -0.4

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