7(n+9)=8n-7

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Solution for 7(n+9)=8n-7 equation: 


Simplifying
7(n + 9) = 8n + -7

Reorder the terms:
7(9 + n) = 8n + -7
(9 * 7 + n * 7) = 8n + -7
(63 + 7n) = 8n + -7

Reorder the terms:
63 + 7n = -7 + 8n

Solving
63 + 7n = -7 + 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.
63 + 7n + -8n = -7 + 8n + -8n

Combine like terms: 7n + -8n = -1n
63 + -1n = -7 + 8n + -8n

Combine like terms: 8n + -8n = 0
63 + -1n = -7 + 0
63 + -1n = -7

Add '-63' to each side of the equation.
63 + -63 + -1n = -7 + -63

Combine like terms: 63 + -63 = 0
0 + -1n = -7 + -63
-1n = -7 + -63

Combine like terms: -7 + -63 = -70
-1n = -70

Divide each side by '-1'.
n = 70

Simplifying
n = 70

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