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

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


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

Reorder the terms:
40 + -7n = -6(-8 + n)
40 + -7n = (-8 * -6 + n * -6)
40 + -7n = (48 + -6n)

Solving
40 + -7n = 48 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
40 + -7n + 6n = 48 + -6n + 6n

Combine like terms: -7n + 6n = -1n
40 + -1n = 48 + -6n + 6n

Combine like terms: -6n + 6n = 0
40 + -1n = 48 + 0
40 + -1n = 48

Add '-40' to each side of the equation.
40 + -40 + -1n = 48 + -40

Combine like terms: 40 + -40 = 0
0 + -1n = 48 + -40
-1n = 48 + -40

Combine like terms: 48 + -40 = 8
-1n = 8

Divide each side by '-1'.
n = -8

Simplifying
n = -8

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