-2(2n-5)=(.5)(-12n+30)

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Solution for -2(2n-5)=(.5)(-12n+30) equation: 


Simplifying
-2(2n + -5) = (0.5)(-12n + 30)

Reorder the terms:
-2(-5 + 2n) = (0.5)(-12n + 30)
(-5 * -2 + 2n * -2) = (0.5)(-12n + 30)
(10 + -4n) = (0.5)(-12n + 30)

Reorder the terms:
10 + -4n = 0.5(30 + -12n)
10 + -4n = (30 * 0.5 + -12n * 0.5)
10 + -4n = (15 + -6n)

Solving
10 + -4n = 15 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
10 + -4n + 6n = 15 + -6n + 6n

Combine like terms: -4n + 6n = 2n
10 + 2n = 15 + -6n + 6n

Combine like terms: -6n + 6n = 0
10 + 2n = 15 + 0
10 + 2n = 15

Add '-10' to each side of the equation.
10 + -10 + 2n = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 2n = 15 + -10
2n = 15 + -10

Combine like terms: 15 + -10 = 5
2n = 5

Divide each side by '2'.
n = 2.5

Simplifying
n = 2.5

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