13+8n=8-9(n+7)

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Solution for 13+8n=8-9(n+7) equation:


Simplifying
13 + 8n = 8 + -9(n + 7)

Reorder the terms:
13 + 8n = 8 + -9(7 + n)
13 + 8n = 8 + (7 * -9 + n * -9)
13 + 8n = 8 + (-63 + -9n)

Combine like terms: 8 + -63 = -55
13 + 8n = -55 + -9n

Solving
13 + 8n = -55 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
13 + 8n + 9n = -55 + -9n + 9n

Combine like terms: 8n + 9n = 17n
13 + 17n = -55 + -9n + 9n

Combine like terms: -9n + 9n = 0
13 + 17n = -55 + 0
13 + 17n = -55

Add '-13' to each side of the equation.
13 + -13 + 17n = -55 + -13

Combine like terms: 13 + -13 = 0
0 + 17n = -55 + -13
17n = -55 + -13

Combine like terms: -55 + -13 = -68
17n = -68

Divide each side by '17'.
n = -4

Simplifying
n = -4

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