7n+2-4n=5n-10

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Solution for 7n+2-4n=5n-10 equation: 


Simplifying
7n + 2 + -4n = 5n + -10

Reorder the terms:
2 + 7n + -4n = 5n + -10

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

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

Solving
2 + 3n = -10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
2 + 3n + -5n = -10 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
2 + -2n = -10 + 0
2 + -2n = -10

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

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

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

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

Simplifying
n = 6

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