-7(n-2)+2n(15+8)=6n+8

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Solution for -7(n-2)+2n(15+8)=6n+8 equation:


Simplifying
-7(n + -2) + 2n(15 + 8) = 6n + 8

Reorder the terms:
-7(-2 + n) + 2n(15 + 8) = 6n + 8
(-2 * -7 + n * -7) + 2n(15 + 8) = 6n + 8
(14 + -7n) + 2n(15 + 8) = 6n + 8

Combine like terms: 15 + 8 = 23
14 + -7n + 2n(23) = 6n + 8

Reorder the terms for easier multiplication:
14 + -7n + 2 * 23n = 6n + 8

Multiply 2 * 23
14 + -7n + 46n = 6n + 8

Combine like terms: -7n + 46n = 39n
14 + 39n = 6n + 8

Reorder the terms:
14 + 39n = 8 + 6n

Solving
14 + 39n = 8 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
14 + 39n + -6n = 8 + 6n + -6n

Combine like terms: 39n + -6n = 33n
14 + 33n = 8 + 6n + -6n

Combine like terms: 6n + -6n = 0
14 + 33n = 8 + 0
14 + 33n = 8

Add '-14' to each side of the equation.
14 + -14 + 33n = 8 + -14

Combine like terms: 14 + -14 = 0
0 + 33n = 8 + -14
33n = 8 + -14

Combine like terms: 8 + -14 = -6
33n = -6

Divide each side by '33'.
n = -0.1818181818

Simplifying
n = -0.1818181818

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