-3(2n-5)=1.2(-12n+30)

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Solution for -3(2n-5)=1.2(-12n+30) equation: 


Simplifying
-3(2n + -5) = 1.2(-12n + 30)

Reorder the terms:
-3(-5 + 2n) = 1.2(-12n + 30)
(-5 * -3 + 2n * -3) = 1.2(-12n + 30)
(15 + -6n) = 1.2(-12n + 30)

Reorder the terms:
15 + -6n = 1.2(30 + -12n)
15 + -6n = (30 * 1.2 + -12n * 1.2)
15 + -6n = (36 + -14.4n)

Solving
15 + -6n = 36 + -14.4n

Solving for variable 'n'.

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

Add '14.4n' to each side of the equation.
15 + -6n + 14.4n = 36 + -14.4n + 14.4n

Combine like terms: -6n + 14.4n = 8.4n
15 + 8.4n = 36 + -14.4n + 14.4n

Combine like terms: -14.4n + 14.4n = 0.0
15 + 8.4n = 36 + 0.0
15 + 8.4n = 36

Add '-15' to each side of the equation.
15 + -15 + 8.4n = 36 + -15

Combine like terms: 15 + -15 = 0
0 + 8.4n = 36 + -15
8.4n = 36 + -15

Combine like terms: 36 + -15 = 21
8.4n = 21

Divide each side by '8.4'.
n = 2.5

Simplifying
n = 2.5

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