4(5n+2)+7n=-100

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Solution for 4(5n+2)+7n=-100 equation:


Simplifying
4(5n + 2) + 7n = -100

Reorder the terms:
4(2 + 5n) + 7n = -100
(2 * 4 + 5n * 4) + 7n = -100
(8 + 20n) + 7n = -100

Combine like terms: 20n + 7n = 27n
8 + 27n = -100

Solving
8 + 27n = -100

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + -8 + 27n = -100 + -8

Combine like terms: 8 + -8 = 0
0 + 27n = -100 + -8
27n = -100 + -8

Combine like terms: -100 + -8 = -108
27n = -108

Divide each side by '27'.
n = -4

Simplifying
n = -4

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