4(p-5)-3(2p+7)=1.5(2p-11)

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Solution for 4(p-5)-3(2p+7)=1.5(2p-11) equation:


Simplifying
4(p + -5) + -3(2p + 7) = 1.5(2p + -11)

Reorder the terms:
4(-5 + p) + -3(2p + 7) = 1.5(2p + -11)
(-5 * 4 + p * 4) + -3(2p + 7) = 1.5(2p + -11)
(-20 + 4p) + -3(2p + 7) = 1.5(2p + -11)

Reorder the terms:
-20 + 4p + -3(7 + 2p) = 1.5(2p + -11)
-20 + 4p + (7 * -3 + 2p * -3) = 1.5(2p + -11)
-20 + 4p + (-21 + -6p) = 1.5(2p + -11)

Reorder the terms:
-20 + -21 + 4p + -6p = 1.5(2p + -11)

Combine like terms: -20 + -21 = -41
-41 + 4p + -6p = 1.5(2p + -11)

Combine like terms: 4p + -6p = -2p
-41 + -2p = 1.5(2p + -11)

Reorder the terms:
-41 + -2p = 1.5(-11 + 2p)
-41 + -2p = (-11 * 1.5 + 2p * 1.5)
-41 + -2p = (-16.5 + 3p)

Solving
-41 + -2p = -16.5 + 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.
-41 + -2p + -3p = -16.5 + 3p + -3p

Combine like terms: -2p + -3p = -5p
-41 + -5p = -16.5 + 3p + -3p

Combine like terms: 3p + -3p = 0
-41 + -5p = -16.5 + 0
-41 + -5p = -16.5

Add '41' to each side of the equation.
-41 + 41 + -5p = -16.5 + 41

Combine like terms: -41 + 41 = 0
0 + -5p = -16.5 + 41
-5p = -16.5 + 41

Combine like terms: -16.5 + 41 = 24.5
-5p = 24.5

Divide each side by '-5'.
p = -4.9

Simplifying
p = -4.9

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