2n+2+5n=-4+5n+2-6

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Solution for 2n+2+5n=-4+5n+2-6 equation: 


Simplifying
2n + 2 + 5n = -4 + 5n + 2 + -6

Reorder the terms:
2 + 2n + 5n = -4 + 5n + 2 + -6

Combine like terms: 2n + 5n = 7n
2 + 7n = -4 + 5n + 2 + -6

Reorder the terms:
2 + 7n = -4 + 2 + -6 + 5n

Combine like terms: -4 + 2 = -2
2 + 7n = -2 + -6 + 5n

Combine like terms: -2 + -6 = -8
2 + 7n = -8 + 5n

Solving
2 + 7n = -8 + 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 + 7n + -5n = -8 + 5n + -5n

Combine like terms: 7n + -5n = 2n
2 + 2n = -8 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + 2n = -8 + 0
2 + 2n = -8

Add '-2' to each side of the equation.
2 + -2 + 2n = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 2n = -8 + -2
2n = -8 + -2

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

Divide each side by '2'.
n = -5

Simplifying
n = -5

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