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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