6n+3=-2n+12

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Solution for 6n+3=-2n+12 equation:


Simplifying
6n + 3 = -2n + 12

Reorder the terms:
3 + 6n = -2n + 12

Reorder the terms:
3 + 6n = 12 + -2n

Solving
3 + 6n = 12 + -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.
3 + 6n + 2n = 12 + -2n + 2n

Combine like terms: 6n + 2n = 8n
3 + 8n = 12 + -2n + 2n

Combine like terms: -2n + 2n = 0
3 + 8n = 12 + 0
3 + 8n = 12

Add '-3' to each side of the equation.
3 + -3 + 8n = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 8n = 12 + -3
8n = 12 + -3

Combine like terms: 12 + -3 = 9
8n = 9

Divide each side by '8'.
n = 1.125

Simplifying
n = 1.125

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