3n+7=2n+19

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Solution for 3n+7=2n+19 equation:


Simplifying
3n + 7 = 2n + 19

Reorder the terms:
7 + 3n = 2n + 19

Reorder the terms:
7 + 3n = 19 + 2n

Solving
7 + 3n = 19 + 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.
7 + 3n + -2n = 19 + 2n + -2n

Combine like terms: 3n + -2n = 1n
7 + 1n = 19 + 2n + -2n

Combine like terms: 2n + -2n = 0
7 + 1n = 19 + 0
7 + 1n = 19

Add '-7' to each side of the equation.
7 + -7 + 1n = 19 + -7

Combine like terms: 7 + -7 = 0
0 + 1n = 19 + -7
1n = 19 + -7

Combine like terms: 19 + -7 = 12
1n = 12

Divide each side by '1'.
n = 12

Simplifying
n = 12

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