40+7n=-8(1-6n)+7n

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Solution for 40+7n=-8(1-6n)+7n equation: 


Simplifying
40 + 7n = -8(1 + -6n) + 7n
40 + 7n = (1 * -8 + -6n * -8) + 7n
40 + 7n = (-8 + 48n) + 7n

Combine like terms: 48n + 7n = 55n
40 + 7n = -8 + 55n

Solving
40 + 7n = -8 + 55n

Solving for variable 'n'.

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

Add '-55n' to each side of the equation.
40 + 7n + -55n = -8 + 55n + -55n

Combine like terms: 7n + -55n = -48n
40 + -48n = -8 + 55n + -55n

Combine like terms: 55n + -55n = 0
40 + -48n = -8 + 0
40 + -48n = -8

Add '-40' to each side of the equation.
40 + -40 + -48n = -8 + -40

Combine like terms: 40 + -40 = 0
0 + -48n = -8 + -40
-48n = -8 + -40

Combine like terms: -8 + -40 = -48
-48n = -48

Divide each side by '-48'.
n = 1

Simplifying
n = 1

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