4(p-2)-3(2p+9)=1.5(2p-13)

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Solution for 4(p-2)-3(2p+9)=1.5(2p-13) equation:


Simplifying
4(p + -2) + -3(2p + 9) = 1.5(2p + -13)

Reorder the terms:
4(-2 + p) + -3(2p + 9) = 1.5(2p + -13)
(-2 * 4 + p * 4) + -3(2p + 9) = 1.5(2p + -13)
(-8 + 4p) + -3(2p + 9) = 1.5(2p + -13)

Reorder the terms:
-8 + 4p + -3(9 + 2p) = 1.5(2p + -13)
-8 + 4p + (9 * -3 + 2p * -3) = 1.5(2p + -13)
-8 + 4p + (-27 + -6p) = 1.5(2p + -13)

Reorder the terms:
-8 + -27 + 4p + -6p = 1.5(2p + -13)

Combine like terms: -8 + -27 = -35
-35 + 4p + -6p = 1.5(2p + -13)

Combine like terms: 4p + -6p = -2p
-35 + -2p = 1.5(2p + -13)

Reorder the terms:
-35 + -2p = 1.5(-13 + 2p)
-35 + -2p = (-13 * 1.5 + 2p * 1.5)
-35 + -2p = (-19.5 + 3p)

Solving
-35 + -2p = -19.5 + 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.
-35 + -2p + -3p = -19.5 + 3p + -3p

Combine like terms: -2p + -3p = -5p
-35 + -5p = -19.5 + 3p + -3p

Combine like terms: 3p + -3p = 0
-35 + -5p = -19.5 + 0
-35 + -5p = -19.5

Add '35' to each side of the equation.
-35 + 35 + -5p = -19.5 + 35

Combine like terms: -35 + 35 = 0
0 + -5p = -19.5 + 35
-5p = -19.5 + 35

Combine like terms: -19.5 + 35 = 15.5
-5p = 15.5

Divide each side by '-5'.
p = -3.1

Simplifying
p = -3.1

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