7n-8=10n+10

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


Simplifying
7n + -8 = 10n + 10

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

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

Solving
-8 + 7n = 10 + 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 = 10 + 10n + -10n

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

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

Add '8' to each side of the equation.
-8 + 8 + -3n = 10 + 8

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

Combine like terms: 10 + 8 = 18
-3n = 18

Divide each side by '-3'.
n = -6

Simplifying
n = -6

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