7(n+4)=2n-2

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Solution for 7(n+4)=2n-2 equation:


Simplifying
7(n + 4) = 2n + -2

Reorder the terms:
7(4 + n) = 2n + -2
(4 * 7 + n * 7) = 2n + -2
(28 + 7n) = 2n + -2

Reorder the terms:
28 + 7n = -2 + 2n

Solving
28 + 7n = -2 + 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.
28 + 7n + -2n = -2 + 2n + -2n

Combine like terms: 7n + -2n = 5n
28 + 5n = -2 + 2n + -2n

Combine like terms: 2n + -2n = 0
28 + 5n = -2 + 0
28 + 5n = -2

Add '-28' to each side of the equation.
28 + -28 + 5n = -2 + -28

Combine like terms: 28 + -28 = 0
0 + 5n = -2 + -28
5n = -2 + -28

Combine like terms: -2 + -28 = -30
5n = -30

Divide each side by '5'.
n = -6

Simplifying
n = -6

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