-5.4(2n+5)=1.8(6+3n)

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Solution for -5.4(2n+5)=1.8(6+3n) equation: 


Simplifying
-5.4(2n + 5) = 1.8(6 + 3n)

Reorder the terms:
-5.4(5 + 2n) = 1.8(6 + 3n)
(5 * -5.4 + 2n * -5.4) = 1.8(6 + 3n)
(-27 + -10.8n) = 1.8(6 + 3n)
-27 + -10.8n = (6 * 1.8 + 3n * 1.8)
-27 + -10.8n = (10.8 + 5.4n)

Solving
-27 + -10.8n = 10.8 + 5.4n

Solving for variable 'n'.

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

Add '-5.4n' to each side of the equation.
-27 + -10.8n + -5.4n = 10.8 + 5.4n + -5.4n

Combine like terms: -10.8n + -5.4n = -16.2n
-27 + -16.2n = 10.8 + 5.4n + -5.4n

Combine like terms: 5.4n + -5.4n = 0.0
-27 + -16.2n = 10.8 + 0.0
-27 + -16.2n = 10.8

Add '27' to each side of the equation.
-27 + 27 + -16.2n = 10.8 + 27

Combine like terms: -27 + 27 = 0
0 + -16.2n = 10.8 + 27
-16.2n = 10.8 + 27

Combine like terms: 10.8 + 27 = 37.8
-16.2n = 37.8

Divide each side by '-16.2'.
n = -2.333333333

Simplifying
n = -2.333333333

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