3n+3-5n=12-6n+7

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Solution for 3n+3-5n=12-6n+7 equation:


Simplifying
3n + 3 + -5n = 12 + -6n + 7

Reorder the terms:
3 + 3n + -5n = 12 + -6n + 7

Combine like terms: 3n + -5n = -2n
3 + -2n = 12 + -6n + 7

Reorder the terms:
3 + -2n = 12 + 7 + -6n

Combine like terms: 12 + 7 = 19
3 + -2n = 19 + -6n

Solving
3 + -2n = 19 + -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.
3 + -2n + 6n = 19 + -6n + 6n

Combine like terms: -2n + 6n = 4n
3 + 4n = 19 + -6n + 6n

Combine like terms: -6n + 6n = 0
3 + 4n = 19 + 0
3 + 4n = 19

Add '-3' to each side of the equation.
3 + -3 + 4n = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 4n = 19 + -3
4n = 19 + -3

Combine like terms: 19 + -3 = 16
4n = 16

Divide each side by '4'.
n = 4

Simplifying
n = 4

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