.5(24p-65)=3p+43

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Solution for .5(24p-65)=3p+43 equation: 


Simplifying
0.5(24p + -65) = 3p + 43

Reorder the terms:
0.5(-65 + 24p) = 3p + 43
(-65 * 0.5 + 24p * 0.5) = 3p + 43
(-32.5 + 12p) = 3p + 43

Reorder the terms:
-32.5 + 12p = 43 + 3p

Solving
-32.5 + 12p = 43 + 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.
-32.5 + 12p + -3p = 43 + 3p + -3p

Combine like terms: 12p + -3p = 9p
-32.5 + 9p = 43 + 3p + -3p

Combine like terms: 3p + -3p = 0
-32.5 + 9p = 43 + 0
-32.5 + 9p = 43

Add '32.5' to each side of the equation.
-32.5 + 32.5 + 9p = 43 + 32.5

Combine like terms: -32.5 + 32.5 = 0.0
0.0 + 9p = 43 + 32.5
9p = 43 + 32.5

Combine like terms: 43 + 32.5 = 75.5
9p = 75.5

Divide each side by '9'.
p = 8.388888889

Simplifying
p = 8.388888889

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