30-5n=-7n-2(1+3n)

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Solution for 30-5n=-7n-2(1+3n) equation: 


Simplifying
30 + -5n = -7n + -2(1 + 3n)
30 + -5n = -7n + (1 * -2 + 3n * -2)
30 + -5n = -7n + (-2 + -6n)

Reorder the terms:
30 + -5n = -2 + -7n + -6n

Combine like terms: -7n + -6n = -13n
30 + -5n = -2 + -13n

Solving
30 + -5n = -2 + -13n

Solving for variable 'n'.

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

Add '13n' to each side of the equation.
30 + -5n + 13n = -2 + -13n + 13n

Combine like terms: -5n + 13n = 8n
30 + 8n = -2 + -13n + 13n

Combine like terms: -13n + 13n = 0
30 + 8n = -2 + 0
30 + 8n = -2

Add '-30' to each side of the equation.
30 + -30 + 8n = -2 + -30

Combine like terms: 30 + -30 = 0
0 + 8n = -2 + -30
8n = -2 + -30

Combine like terms: -2 + -30 = -32
8n = -32

Divide each side by '8'.
n = -4

Simplifying
n = -4

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