-8n+33=-7n+7(-5-5n)

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Solution for -8n+33=-7n+7(-5-5n) equation: 


Simplifying
-8n + 33 = -7n + 7(-5 + -5n)

Reorder the terms:
33 + -8n = -7n + 7(-5 + -5n)
33 + -8n = -7n + (-5 * 7 + -5n * 7)
33 + -8n = -7n + (-35 + -35n)

Reorder the terms:
33 + -8n = -35 + -7n + -35n

Combine like terms: -7n + -35n = -42n
33 + -8n = -35 + -42n

Solving
33 + -8n = -35 + -42n

Solving for variable 'n'.

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

Add '42n' to each side of the equation.
33 + -8n + 42n = -35 + -42n + 42n

Combine like terms: -8n + 42n = 34n
33 + 34n = -35 + -42n + 42n

Combine like terms: -42n + 42n = 0
33 + 34n = -35 + 0
33 + 34n = -35

Add '-33' to each side of the equation.
33 + -33 + 34n = -35 + -33

Combine like terms: 33 + -33 = 0
0 + 34n = -35 + -33
34n = -35 + -33

Combine like terms: -35 + -33 = -68
34n = -68

Divide each side by '34'.
n = -2

Simplifying
n = -2

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