6(1+2n)+5=-24+7n

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Solution for 6(1+2n)+5=-24+7n equation: 


Simplifying
6(1 + 2n) + 5 = -24 + 7n
(1 * 6 + 2n * 6) + 5 = -24 + 7n
(6 + 12n) + 5 = -24 + 7n

Reorder the terms:
6 + 5 + 12n = -24 + 7n

Combine like terms: 6 + 5 = 11
11 + 12n = -24 + 7n

Solving
11 + 12n = -24 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
11 + 12n + -7n = -24 + 7n + -7n

Combine like terms: 12n + -7n = 5n
11 + 5n = -24 + 7n + -7n

Combine like terms: 7n + -7n = 0
11 + 5n = -24 + 0
11 + 5n = -24

Add '-11' to each side of the equation.
11 + -11 + 5n = -24 + -11

Combine like terms: 11 + -11 = 0
0 + 5n = -24 + -11
5n = -24 + -11

Combine like terms: -24 + -11 = -35
5n = -35

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

Simplifying
n = -7

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