-2(7n-4)+n=-8n+28

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Solution for -2(7n-4)+n=-8n+28 equation:


Simplifying
-2(7n + -4) + n = -8n + 28

Reorder the terms:
-2(-4 + 7n) + n = -8n + 28
(-4 * -2 + 7n * -2) + n = -8n + 28
(8 + -14n) + n = -8n + 28

Combine like terms: -14n + n = -13n
8 + -13n = -8n + 28

Reorder the terms:
8 + -13n = 28 + -8n

Solving
8 + -13n = 28 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
8 + -13n + 8n = 28 + -8n + 8n

Combine like terms: -13n + 8n = -5n
8 + -5n = 28 + -8n + 8n

Combine like terms: -8n + 8n = 0
8 + -5n = 28 + 0
8 + -5n = 28

Add '-8' to each side of the equation.
8 + -8 + -5n = 28 + -8

Combine like terms: 8 + -8 = 0
0 + -5n = 28 + -8
-5n = 28 + -8

Combine like terms: 28 + -8 = 20
-5n = 20

Divide each side by '-5'.
n = -4

Simplifying
n = -4

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