3(2n+2)+6=5n+3

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Solution for 3(2n+2)+6=5n+3 equation:


Simplifying
3(2n + 2) + 6 = 5n + 3

Reorder the terms:
3(2 + 2n) + 6 = 5n + 3
(2 * 3 + 2n * 3) + 6 = 5n + 3
(6 + 6n) + 6 = 5n + 3

Reorder the terms:
6 + 6 + 6n = 5n + 3

Combine like terms: 6 + 6 = 12
12 + 6n = 5n + 3

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

Solving
12 + 6n = 3 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
12 + 6n + -5n = 3 + 5n + -5n

Combine like terms: 6n + -5n = 1n
12 + 1n = 3 + 5n + -5n

Combine like terms: 5n + -5n = 0
12 + 1n = 3 + 0
12 + 1n = 3

Add '-12' to each side of the equation.
12 + -12 + 1n = 3 + -12

Combine like terms: 12 + -12 = 0
0 + 1n = 3 + -12
1n = 3 + -12

Combine like terms: 3 + -12 = -9
1n = -9

Divide each side by '1'.
n = -9

Simplifying
n = -9

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