0.5(5.1+3.2p)=3p-0.39

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Solution for 0.5(5.1+3.2p)=3p-0.39 equation: 


Simplifying
0.5(5.1 + 3.2p) = 3p + -0.39
(5.1 * 0.5 + 3.2p * 0.5) = 3p + -0.39
(2.55 + 1.6p) = 3p + -0.39

Reorder the terms:
2.55 + 1.6p = -0.39 + 3p

Solving
2.55 + 1.6p = -0.39 + 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.
2.55 + 1.6p + -3p = -0.39 + 3p + -3p

Combine like terms: 1.6p + -3p = -1.4p
2.55 + -1.4p = -0.39 + 3p + -3p

Combine like terms: 3p + -3p = 0
2.55 + -1.4p = -0.39 + 0
2.55 + -1.4p = -0.39

Add '-2.55' to each side of the equation.
2.55 + -2.55 + -1.4p = -0.39 + -2.55

Combine like terms: 2.55 + -2.55 = 0.00
0.00 + -1.4p = -0.39 + -2.55
-1.4p = -0.39 + -2.55

Combine like terms: -0.39 + -2.55 = -2.94
-1.4p = -2.94

Divide each side by '-1.4'.
p = 2.1

Simplifying
p = 2.1

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