4(2n+3)=-(n-8)+7n

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Solution for 4(2n+3)=-(n-8)+7n equation:


Simplifying
4(2n + 3) = -1(n + -8) + 7n

Reorder the terms:
4(3 + 2n) = -1(n + -8) + 7n
(3 * 4 + 2n * 4) = -1(n + -8) + 7n
(12 + 8n) = -1(n + -8) + 7n

Reorder the terms:
12 + 8n = -1(-8 + n) + 7n
12 + 8n = (-8 * -1 + n * -1) + 7n
12 + 8n = (8 + -1n) + 7n

Combine like terms: -1n + 7n = 6n
12 + 8n = 8 + 6n

Solving
12 + 8n = 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.
12 + 8n + -6n = 8 + 6n + -6n

Combine like terms: 8n + -6n = 2n
12 + 2n = 8 + 6n + -6n

Combine like terms: 6n + -6n = 0
12 + 2n = 8 + 0
12 + 2n = 8

Add '-12' to each side of the equation.
12 + -12 + 2n = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 2n = 8 + -12
2n = 8 + -12

Combine like terms: 8 + -12 = -4
2n = -4

Divide each side by '2'.
n = -2

Simplifying
n = -2

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