40-7n=2(-5n+6)-n

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Solution for 40-7n=2(-5n+6)-n equation: 


Simplifying
40 + -7n = 2(-5n + 6) + -1n

Reorder the terms:
40 + -7n = 2(6 + -5n) + -1n
40 + -7n = (6 * 2 + -5n * 2) + -1n
40 + -7n = (12 + -10n) + -1n

Combine like terms: -10n + -1n = -11n
40 + -7n = 12 + -11n

Solving
40 + -7n = 12 + -11n

Solving for variable 'n'.

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

Add '11n' to each side of the equation.
40 + -7n + 11n = 12 + -11n + 11n

Combine like terms: -7n + 11n = 4n
40 + 4n = 12 + -11n + 11n

Combine like terms: -11n + 11n = 0
40 + 4n = 12 + 0
40 + 4n = 12

Add '-40' to each side of the equation.
40 + -40 + 4n = 12 + -40

Combine like terms: 40 + -40 = 0
0 + 4n = 12 + -40
4n = 12 + -40

Combine like terms: 12 + -40 = -28
4n = -28

Divide each side by '4'.
n = -7

Simplifying
n = -7

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