.5(3.6p-2)=3(4.1-3p)-25

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Solution for .5(3.6p-2)=3(4.1-3p)-25 equation: 


Simplifying
0.5(3.6p + -2) = 3(4.1 + -3p) + -25

Reorder the terms:
0.5(-2 + 3.6p) = 3(4.1 + -3p) + -25
(-2 * 0.5 + 3.6p * 0.5) = 3(4.1 + -3p) + -25
(-1 + 1.8p) = 3(4.1 + -3p) + -25
-1 + 1.8p = (4.1 * 3 + -3p * 3) + -25
-1 + 1.8p = (12.3 + -9p) + -25

Reorder the terms:
-1 + 1.8p = 12.3 + -25 + -9p

Combine like terms: 12.3 + -25 = -12.7
-1 + 1.8p = -12.7 + -9p

Solving
-1 + 1.8p = -12.7 + -9p

Solving for variable 'p'.

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

Add '9p' to each side of the equation.
-1 + 1.8p + 9p = -12.7 + -9p + 9p

Combine like terms: 1.8p + 9p = 10.8p
-1 + 10.8p = -12.7 + -9p + 9p

Combine like terms: -9p + 9p = 0
-1 + 10.8p = -12.7 + 0
-1 + 10.8p = -12.7

Add '1' to each side of the equation.
-1 + 1 + 10.8p = -12.7 + 1

Combine like terms: -1 + 1 = 0
0 + 10.8p = -12.7 + 1
10.8p = -12.7 + 1

Combine like terms: -12.7 + 1 = -11.7
10.8p = -11.7

Divide each side by '10.8'.
p = -1.083333333

Simplifying
p = -1.083333333

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