7(1-2n)+8=-40-3n

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Solution for 7(1-2n)+8=-40-3n equation: 


Simplifying
7(1 + -2n) + 8 = -40 + -3n
(1 * 7 + -2n * 7) + 8 = -40 + -3n
(7 + -14n) + 8 = -40 + -3n

Reorder the terms:
7 + 8 + -14n = -40 + -3n

Combine like terms: 7 + 8 = 15
15 + -14n = -40 + -3n

Solving
15 + -14n = -40 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
15 + -14n + 3n = -40 + -3n + 3n

Combine like terms: -14n + 3n = -11n
15 + -11n = -40 + -3n + 3n

Combine like terms: -3n + 3n = 0
15 + -11n = -40 + 0
15 + -11n = -40

Add '-15' to each side of the equation.
15 + -15 + -11n = -40 + -15

Combine like terms: 15 + -15 = 0
0 + -11n = -40 + -15
-11n = -40 + -15

Combine like terms: -40 + -15 = -55
-11n = -55

Divide each side by '-11'.
n = 5

Simplifying
n = 5

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