.5(6n+10)=2n+8

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Solution for .5(6n+10)=2n+8 equation:


Simplifying
0.5(6n + 10) = 2n + 8

Reorder the terms:
0.5(10 + 6n) = 2n + 8
(10 * 0.5 + 6n * 0.5) = 2n + 8
(5 + 3n) = 2n + 8

Reorder the terms:
5 + 3n = 8 + 2n

Solving
5 + 3n = 8 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
5 + 3n + -2n = 8 + 2n + -2n

Combine like terms: 3n + -2n = 1n
5 + 1n = 8 + 2n + -2n

Combine like terms: 2n + -2n = 0
5 + 1n = 8 + 0
5 + 1n = 8

Add '-5' to each side of the equation.
5 + -5 + 1n = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 1n = 8 + -5
1n = 8 + -5

Combine like terms: 8 + -5 = 3
1n = 3

Divide each side by '1'.
n = 3

Simplifying
n = 3

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