8+2n=10-(5n)

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Solution for 8+2n=10-(5n) equation:


Simplifying
8 + 2n = 10 + -1(5n)

Remove parenthesis around (5n)
8 + 2n = 10 + -1 * 5n

Multiply -1 * 5
8 + 2n = 10 + -5n

Solving
8 + 2n = 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.
8 + 2n + 5n = 10 + -5n + 5n

Combine like terms: 2n + 5n = 7n
8 + 7n = 10 + -5n + 5n

Combine like terms: -5n + 5n = 0
8 + 7n = 10 + 0
8 + 7n = 10

Add '-8' to each side of the equation.
8 + -8 + 7n = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 7n = 10 + -8
7n = 10 + -8

Combine like terms: 10 + -8 = 2
7n = 2

Divide each side by '7'.
n = 0.2857142857

Simplifying
n = 0.2857142857

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