8+2n-5=7n+27-2n

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Solution for 8+2n-5=7n+27-2n equation:


Simplifying
8 + 2n + -5 = 7n + 27 + -2n

Reorder the terms:
8 + -5 + 2n = 7n + 27 + -2n

Combine like terms: 8 + -5 = 3
3 + 2n = 7n + 27 + -2n

Reorder the terms:
3 + 2n = 27 + 7n + -2n

Combine like terms: 7n + -2n = 5n
3 + 2n = 27 + 5n

Solving
3 + 2n = 27 + 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.
3 + 2n + -5n = 27 + 5n + -5n

Combine like terms: 2n + -5n = -3n
3 + -3n = 27 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 + -3n = 27 + 0
3 + -3n = 27

Add '-3' to each side of the equation.
3 + -3 + -3n = 27 + -3

Combine like terms: 3 + -3 = 0
0 + -3n = 27 + -3
-3n = 27 + -3

Combine like terms: 27 + -3 = 24
-3n = 24

Divide each side by '-3'.
n = -8

Simplifying
n = -8

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