n-28=5(-2n-8)+8n

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Solution for n-28=5(-2n-8)+8n equation:


Simplifying
n + -28 = 5(-2n + -8) + 8n

Reorder the terms:
-28 + n = 5(-2n + -8) + 8n

Reorder the terms:
-28 + n = 5(-8 + -2n) + 8n
-28 + n = (-8 * 5 + -2n * 5) + 8n
-28 + n = (-40 + -10n) + 8n

Combine like terms: -10n + 8n = -2n
-28 + n = -40 + -2n

Solving
-28 + n = -40 + -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 + n + 2n = -40 + -2n + 2n

Combine like terms: n + 2n = 3n
-28 + 3n = -40 + -2n + 2n

Combine like terms: -2n + 2n = 0
-28 + 3n = -40 + 0
-28 + 3n = -40

Add '28' to each side of the equation.
-28 + 28 + 3n = -40 + 28

Combine like terms: -28 + 28 = 0
0 + 3n = -40 + 28
3n = -40 + 28

Combine like terms: -40 + 28 = -12
3n = -12

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

Simplifying
n = -4

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