6(-n+6)=28-8n

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Solution for 6(-n+6)=28-8n equation:


Simplifying
6(-1n + 6) = 28 + -8n

Reorder the terms:
6(6 + -1n) = 28 + -8n
(6 * 6 + -1n * 6) = 28 + -8n
(36 + -6n) = 28 + -8n

Solving
36 + -6n = 28 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
36 + -6n + 8n = 28 + -8n + 8n

Combine like terms: -6n + 8n = 2n
36 + 2n = 28 + -8n + 8n

Combine like terms: -8n + 8n = 0
36 + 2n = 28 + 0
36 + 2n = 28

Add '-36' to each side of the equation.
36 + -36 + 2n = 28 + -36

Combine like terms: 36 + -36 = 0
0 + 2n = 28 + -36
2n = 28 + -36

Combine like terms: 28 + -36 = -8
2n = -8

Divide each side by '2'.
n = -4

Simplifying
n = -4

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