7n-2n+10=3n-16

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Solution for 7n-2n+10=3n-16 equation:


Simplifying
7n + -2n + 10 = 3n + -16

Reorder the terms:
10 + 7n + -2n = 3n + -16

Combine like terms: 7n + -2n = 5n
10 + 5n = 3n + -16

Reorder the terms:
10 + 5n = -16 + 3n

Solving
10 + 5n = -16 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
10 + 5n + -3n = -16 + 3n + -3n

Combine like terms: 5n + -3n = 2n
10 + 2n = -16 + 3n + -3n

Combine like terms: 3n + -3n = 0
10 + 2n = -16 + 0
10 + 2n = -16

Add '-10' to each side of the equation.
10 + -10 + 2n = -16 + -10

Combine like terms: 10 + -10 = 0
0 + 2n = -16 + -10
2n = -16 + -10

Combine like terms: -16 + -10 = -26
2n = -26

Divide each side by '2'.
n = -13

Simplifying
n = -13

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