2(2n-1)+12=3(n+2)+13

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Solution for 2(2n-1)+12=3(n+2)+13 equation: 


Simplifying
2(2n + -1) + 12 = 3(n + 2) + 13

Reorder the terms:
2(-1 + 2n) + 12 = 3(n + 2) + 13
(-1 * 2 + 2n * 2) + 12 = 3(n + 2) + 13
(-2 + 4n) + 12 = 3(n + 2) + 13

Reorder the terms:
-2 + 12 + 4n = 3(n + 2) + 13

Combine like terms: -2 + 12 = 10
10 + 4n = 3(n + 2) + 13

Reorder the terms:
10 + 4n = 3(2 + n) + 13
10 + 4n = (2 * 3 + n * 3) + 13
10 + 4n = (6 + 3n) + 13

Reorder the terms:
10 + 4n = 6 + 13 + 3n

Combine like terms: 6 + 13 = 19
10 + 4n = 19 + 3n

Solving
10 + 4n = 19 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
10 + 4n + -3n = 19 + 3n + -3n

Combine like terms: 4n + -3n = 1n
10 + 1n = 19 + 3n + -3n

Combine like terms: 3n + -3n = 0
10 + 1n = 19 + 0
10 + 1n = 19

Add '-10' to each side of the equation.
10 + -10 + 1n = 19 + -10

Combine like terms: 10 + -10 = 0
0 + 1n = 19 + -10
1n = 19 + -10

Combine like terms: 19 + -10 = 9
1n = 9

Divide each side by '1'.
n = 9

Simplifying
n = 9

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