6n+10=10n-14

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Solution for 6n+10=10n-14 equation:


Simplifying
6n + 10 = 10n + -14

Reorder the terms:
10 + 6n = 10n + -14

Reorder the terms:
10 + 6n = -14 + 10n

Solving
10 + 6n = -14 + 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.
10 + 6n + -10n = -14 + 10n + -10n

Combine like terms: 6n + -10n = -4n
10 + -4n = -14 + 10n + -10n

Combine like terms: 10n + -10n = 0
10 + -4n = -14 + 0
10 + -4n = -14

Add '-10' to each side of the equation.
10 + -10 + -4n = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -4n = -14 + -10
-4n = -14 + -10

Combine like terms: -14 + -10 = -24
-4n = -24

Divide each side by '-4'.
n = 6

Simplifying
n = 6

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