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

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Solution for 6(1+7n)-n=-40-5n equation:


Simplifying
6(1 + 7n) + -1n = -40 + -5n
(1 * 6 + 7n * 6) + -1n = -40 + -5n
(6 + 42n) + -1n = -40 + -5n

Combine like terms: 42n + -1n = 41n
6 + 41n = -40 + -5n

Solving
6 + 41n = -40 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
6 + 41n + 5n = -40 + -5n + 5n

Combine like terms: 41n + 5n = 46n
6 + 46n = -40 + -5n + 5n

Combine like terms: -5n + 5n = 0
6 + 46n = -40 + 0
6 + 46n = -40

Add '-6' to each side of the equation.
6 + -6 + 46n = -40 + -6

Combine like terms: 6 + -6 = 0
0 + 46n = -40 + -6
46n = -40 + -6

Combine like terms: -40 + -6 = -46
46n = -46

Divide each side by '46'.
n = -1

Simplifying
n = -1

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