8.7=3.5p-2.5(5.4-6p)

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Solution for 8.7=3.5p-2.5(5.4-6p) equation: 


Simplifying
8.7 = 3.5p + -2.5(5.4 + -6p)
8.7 = 3.5p + (5.4 * -2.5 + -6p * -2.5)
8.7 = 3.5p + (-13.5 + 15p)

Reorder the terms:
8.7 = -13.5 + 3.5p + 15p

Combine like terms: 3.5p + 15p = 18.5p
8.7 = -13.5 + 18.5p

Solving
8.7 = -13.5 + 18.5p

Solving for variable 'p'.

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

Add '-18.5p' to each side of the equation.
8.7 + -18.5p = -13.5 + 18.5p + -18.5p

Combine like terms: 18.5p + -18.5p = 0.0
8.7 + -18.5p = -13.5 + 0.0
8.7 + -18.5p = -13.5

Add '-8.7' to each side of the equation.
8.7 + -8.7 + -18.5p = -13.5 + -8.7

Combine like terms: 8.7 + -8.7 = 0.0
0.0 + -18.5p = -13.5 + -8.7
-18.5p = -13.5 + -8.7

Combine like terms: -13.5 + -8.7 = -22.2
-18.5p = -22.2

Divide each side by '-18.5'.
p = 1.2

Simplifying
p = 1.2

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