.5(10+12n)=.33(15n+15)

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Solution for .5(10+12n)=.33(15n+15) equation:


Simplifying
0.5(10 + 12n) = 0.33(15n + 15)
(10 * 0.5 + 12n * 0.5) = 0.33(15n + 15)
(5 + 6n) = 0.33(15n + 15)

Reorder the terms:
5 + 6n = 0.33(15 + 15n)
5 + 6n = (15 * 0.33 + 15n * 0.33)
5 + 6n = (4.95 + 4.95n)

Solving
5 + 6n = 4.95 + 4.95n

Solving for variable 'n'.

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

Add '-4.95n' to each side of the equation.
5 + 6n + -4.95n = 4.95 + 4.95n + -4.95n

Combine like terms: 6n + -4.95n = 1.05n
5 + 1.05n = 4.95 + 4.95n + -4.95n

Combine like terms: 4.95n + -4.95n = 0.00
5 + 1.05n = 4.95 + 0.00
5 + 1.05n = 4.95

Add '-5' to each side of the equation.
5 + -5 + 1.05n = 4.95 + -5

Combine like terms: 5 + -5 = 0
0 + 1.05n = 4.95 + -5
1.05n = 4.95 + -5

Combine like terms: 4.95 + -5 = -0.05
1.05n = -0.05

Divide each side by '1.05'.
n = -0.04761904762

Simplifying
n = -0.04761904762

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