0.2(9p-12)=0.6(8-5p)

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Solution for 0.2(9p-12)=0.6(8-5p) equation: 


Simplifying
0.2(9p + -12) = 0.6(8 + -5p)

Reorder the terms:
0.2(-12 + 9p) = 0.6(8 + -5p)
(-12 * 0.2 + 9p * 0.2) = 0.6(8 + -5p)
(-2.4 + 1.8p) = 0.6(8 + -5p)
-2.4 + 1.8p = (8 * 0.6 + -5p * 0.6)
-2.4 + 1.8p = (4.8 + -3p)

Solving
-2.4 + 1.8p = 4.8 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
-2.4 + 1.8p + 3p = 4.8 + -3p + 3p

Combine like terms: 1.8p + 3p = 4.8p
-2.4 + 4.8p = 4.8 + -3p + 3p

Combine like terms: -3p + 3p = 0
-2.4 + 4.8p = 4.8 + 0
-2.4 + 4.8p = 4.8

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 4.8p = 4.8 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 4.8p = 4.8 + 2.4
4.8p = 4.8 + 2.4

Combine like terms: 4.8 + 2.4 = 7.2
4.8p = 7.2

Divide each side by '4.8'.
p = 1.5

Simplifying
p = 1.5

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