7n+8=10n-13

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Solution for 7n+8=10n-13 equation:


Simplifying
7n + 8 = 10n + -13

Reorder the terms:
8 + 7n = 10n + -13

Reorder the terms:
8 + 7n = -13 + 10n

Solving
8 + 7n = -13 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
8 + 7n + -10n = -13 + 10n + -10n

Combine like terms: 7n + -10n = -3n
8 + -3n = -13 + 10n + -10n

Combine like terms: 10n + -10n = 0
8 + -3n = -13 + 0
8 + -3n = -13

Add '-8' to each side of the equation.
8 + -8 + -3n = -13 + -8

Combine like terms: 8 + -8 = 0
0 + -3n = -13 + -8
-3n = -13 + -8

Combine like terms: -13 + -8 = -21
-3n = -21

Divide each side by '-3'.
n = 7

Simplifying
n = 7

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