-89=n+7(n-7)

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Solution for -89=n+7(n-7) equation:


Simplifying
-89 = n + 7(n + -7)

Reorder the terms:
-89 = n + 7(-7 + n)
-89 = n + (-7 * 7 + n * 7)
-89 = n + (-49 + 7n)

Reorder the terms:
-89 = -49 + n + 7n

Combine like terms: n + 7n = 8n
-89 = -49 + 8n

Solving
-89 = -49 + 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.
-89 + -8n = -49 + 8n + -8n

Combine like terms: 8n + -8n = 0
-89 + -8n = -49 + 0
-89 + -8n = -49

Add '89' to each side of the equation.
-89 + 89 + -8n = -49 + 89

Combine like terms: -89 + 89 = 0
0 + -8n = -49 + 89
-8n = -49 + 89

Combine like terms: -49 + 89 = 40
-8n = 40

Divide each side by '-8'.
n = -5

Simplifying
n = -5

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