3n+7=7n-13

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Solution for 3n+7=7n-13 equation:


Simplifying
3n + 7 = 7n + -13

Reorder the terms:
7 + 3n = 7n + -13

Reorder the terms:
7 + 3n = -13 + 7n

Solving
7 + 3n = -13 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
7 + 3n + -7n = -13 + 7n + -7n

Combine like terms: 3n + -7n = -4n
7 + -4n = -13 + 7n + -7n

Combine like terms: 7n + -7n = 0
7 + -4n = -13 + 0
7 + -4n = -13

Add '-7' to each side of the equation.
7 + -7 + -4n = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -4n = -13 + -7
-4n = -13 + -7

Combine like terms: -13 + -7 = -20
-4n = -20

Divide each side by '-4'.
n = 5

Simplifying
n = 5

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