10n-2=7n-14

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Solution for 10n-2=7n-14 equation:


Simplifying
10n + -2 = 7n + -14

Reorder the terms:
-2 + 10n = 7n + -14

Reorder the terms:
-2 + 10n = -14 + 7n

Solving
-2 + 10n = -14 + 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.
-2 + 10n + -7n = -14 + 7n + -7n

Combine like terms: 10n + -7n = 3n
-2 + 3n = -14 + 7n + -7n

Combine like terms: 7n + -7n = 0
-2 + 3n = -14 + 0
-2 + 3n = -14

Add '2' to each side of the equation.
-2 + 2 + 3n = -14 + 2

Combine like terms: -2 + 2 = 0
0 + 3n = -14 + 2
3n = -14 + 2

Combine like terms: -14 + 2 = -12
3n = -12

Divide each side by '3'.
n = -4

Simplifying
n = -4

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