7n+10=3n+2

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


Simplifying
7n + 10 = 3n + 2

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

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

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

Combine like terms: 7n + -3n = 4n
10 + 4n = 2 + 3n + -3n

Combine like terms: 3n + -3n = 0
10 + 4n = 2 + 0
10 + 4n = 2

Add '-10' to each side of the equation.
10 + -10 + 4n = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 4n = 2 + -10
4n = 2 + -10

Combine like terms: 2 + -10 = -8
4n = -8

Divide each side by '4'.
n = -2

Simplifying
n = -2

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