30=-4(5n-5)+(2+n)

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Solution for 30=-4(5n-5)+(2+n) equation:


Simplifying
30 = -4(5n + -5) + (2 + n)

Reorder the terms:
30 = -4(-5 + 5n) + (2 + n)
30 = (-5 * -4 + 5n * -4) + (2 + n)
30 = (20 + -20n) + (2 + n)

Remove parenthesis around (2 + n)
30 = 20 + -20n + 2 + n

Reorder the terms:
30 = 20 + 2 + -20n + n

Combine like terms: 20 + 2 = 22
30 = 22 + -20n + n

Combine like terms: -20n + n = -19n
30 = 22 + -19n

Solving
30 = 22 + -19n

Solving for variable 'n'.

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

Add '19n' to each side of the equation.
30 + 19n = 22 + -19n + 19n

Combine like terms: -19n + 19n = 0
30 + 19n = 22 + 0
30 + 19n = 22

Add '-30' to each side of the equation.
30 + -30 + 19n = 22 + -30

Combine like terms: 30 + -30 = 0
0 + 19n = 22 + -30
19n = 22 + -30

Combine like terms: 22 + -30 = -8
19n = -8

Divide each side by '19'.
n = -0.4210526316

Simplifying
n = -0.4210526316

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