6(1+n)=-29-n

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Solution for 6(1+n)=-29-n equation:


Simplifying
6(1 + n) = -29 + -1n
(1 * 6 + n * 6) = -29 + -1n
(6 + 6n) = -29 + -1n

Solving
6 + 6n = -29 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
6 + 6n + n = -29 + -1n + n

Combine like terms: 6n + n = 7n
6 + 7n = -29 + -1n + n

Combine like terms: -1n + n = 0
6 + 7n = -29 + 0
6 + 7n = -29

Add '-6' to each side of the equation.
6 + -6 + 7n = -29 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = -29 + -6
7n = -29 + -6

Combine like terms: -29 + -6 = -35
7n = -35

Divide each side by '7'.
n = -5

Simplifying
n = -5

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