8n+30=-7(-3n+5)

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Solution for 8n+30=-7(-3n+5) equation:


Simplifying
8n + 30 = -7(-3n + 5)

Reorder the terms:
30 + 8n = -7(-3n + 5)

Reorder the terms:
30 + 8n = -7(5 + -3n)
30 + 8n = (5 * -7 + -3n * -7)
30 + 8n = (-35 + 21n)

Solving
30 + 8n = -35 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
30 + 8n + -21n = -35 + 21n + -21n

Combine like terms: 8n + -21n = -13n
30 + -13n = -35 + 21n + -21n

Combine like terms: 21n + -21n = 0
30 + -13n = -35 + 0
30 + -13n = -35

Add '-30' to each side of the equation.
30 + -30 + -13n = -35 + -30

Combine like terms: 30 + -30 = 0
0 + -13n = -35 + -30
-13n = -35 + -30

Combine like terms: -35 + -30 = -65
-13n = -65

Divide each side by '-13'.
n = 5

Simplifying
n = 5

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