6(2+7n)+4=2n-24

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Solution for 6(2+7n)+4=2n-24 equation:


Simplifying
6(2 + 7n) + 4 = 2n + -24
(2 * 6 + 7n * 6) + 4 = 2n + -24
(12 + 42n) + 4 = 2n + -24

Reorder the terms:
12 + 4 + 42n = 2n + -24

Combine like terms: 12 + 4 = 16
16 + 42n = 2n + -24

Reorder the terms:
16 + 42n = -24 + 2n

Solving
16 + 42n = -24 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
16 + 42n + -2n = -24 + 2n + -2n

Combine like terms: 42n + -2n = 40n
16 + 40n = -24 + 2n + -2n

Combine like terms: 2n + -2n = 0
16 + 40n = -24 + 0
16 + 40n = -24

Add '-16' to each side of the equation.
16 + -16 + 40n = -24 + -16

Combine like terms: 16 + -16 = 0
0 + 40n = -24 + -16
40n = -24 + -16

Combine like terms: -24 + -16 = -40
40n = -40

Divide each side by '40'.
n = -1

Simplifying
n = -1

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