-6.7(3p+5)-2.5(4p-6)=

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Solution for -6.7(3p+5)-2.5(4p-6)= equation: 


Simplifying
-6.7(3p + 5) + -2.5(4p + -6) = 0

Reorder the terms:
-6.7(5 + 3p) + -2.5(4p + -6) = 0
(5 * -6.7 + 3p * -6.7) + -2.5(4p + -6) = 0
(-33.5 + -20.1p) + -2.5(4p + -6) = 0

Reorder the terms:
-33.5 + -20.1p + -2.5(-6 + 4p) = 0
-33.5 + -20.1p + (-6 * -2.5 + 4p * -2.5) = 0
-33.5 + -20.1p + (15 + -10p) = 0

Reorder the terms:
-33.5 + 15 + -20.1p + -10p = 0

Combine like terms: -33.5 + 15 = -18.5
-18.5 + -20.1p + -10p = 0

Combine like terms: -20.1p + -10p = -30.1p
-18.5 + -30.1p = 0

Solving
-18.5 + -30.1p = 0

Solving for variable 'p'.

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

Add '18.5' to each side of the equation.
-18.5 + 18.5 + -30.1p = 0 + 18.5

Combine like terms: -18.5 + 18.5 = 0.0
0.0 + -30.1p = 0 + 18.5
-30.1p = 0 + 18.5

Combine like terms: 0 + 18.5 = 18.5
-30.1p = 18.5

Divide each side by '-30.1'.
p = -0.6146179402

Simplifying
p = -0.6146179402

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