7n+10-2n=4n-2+3n

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Solution for 7n+10-2n=4n-2+3n equation:


Simplifying
7n + 10 + -2n = 4n + -2 + 3n

Reorder the terms:
10 + 7n + -2n = 4n + -2 + 3n

Combine like terms: 7n + -2n = 5n
10 + 5n = 4n + -2 + 3n

Reorder the terms:
10 + 5n = -2 + 4n + 3n

Combine like terms: 4n + 3n = 7n
10 + 5n = -2 + 7n

Solving
10 + 5n = -2 + 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.
10 + 5n + -7n = -2 + 7n + -7n

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

Combine like terms: 7n + -7n = 0
10 + -2n = -2 + 0
10 + -2n = -2

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

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

Combine like terms: -2 + -10 = -12
-2n = -12

Divide each side by '-2'.
n = 6

Simplifying
n = 6

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