10n+4=7n-14

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Solution for 10n+4=7n-14 equation:


Simplifying
10n + 4 = 7n + -14

Reorder the terms:
4 + 10n = 7n + -14

Reorder the terms:
4 + 10n = -14 + 7n

Solving
4 + 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.
4 + 10n + -7n = -14 + 7n + -7n

Combine like terms: 10n + -7n = 3n
4 + 3n = -14 + 7n + -7n

Combine like terms: 7n + -7n = 0
4 + 3n = -14 + 0
4 + 3n = -14

Add '-4' to each side of the equation.
4 + -4 + 3n = -14 + -4

Combine like terms: 4 + -4 = 0
0 + 3n = -14 + -4
3n = -14 + -4

Combine like terms: -14 + -4 = -18
3n = -18

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

Simplifying
n = -6

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