n+10=3n-14

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Solution for n+10=3n-14 equation: 


Simplifying
n + 10 = 3n + -14

Reorder the terms:
10 + n = 3n + -14

Reorder the terms:
10 + n = -14 + 3n

Solving
10 + n = -14 + 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 + n + -3n = -14 + 3n + -3n

Combine like terms: n + -3n = -2n
10 + -2n = -14 + 3n + -3n

Combine like terms: 3n + -3n = 0
10 + -2n = -14 + 0
10 + -2n = -14

Add '-10' to each side of the equation.
10 + -10 + -2n = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -2n = -14 + -10
-2n = -14 + -10

Combine like terms: -14 + -10 = -24
-2n = -24

Divide each side by '-2'.
n = 12

Simplifying
n = 12

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