-5(3p+4)-27=2(2p+5)

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Solution for -5(3p+4)-27=2(2p+5) equation:


Simplifying
-5(3p + 4) + -27 = 2(2p + 5)

Reorder the terms:
-5(4 + 3p) + -27 = 2(2p + 5)
(4 * -5 + 3p * -5) + -27 = 2(2p + 5)
(-20 + -15p) + -27 = 2(2p + 5)

Reorder the terms:
-20 + -27 + -15p = 2(2p + 5)

Combine like terms: -20 + -27 = -47
-47 + -15p = 2(2p + 5)

Reorder the terms:
-47 + -15p = 2(5 + 2p)
-47 + -15p = (5 * 2 + 2p * 2)
-47 + -15p = (10 + 4p)

Solving
-47 + -15p = 10 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-47 + -15p + -4p = 10 + 4p + -4p

Combine like terms: -15p + -4p = -19p
-47 + -19p = 10 + 4p + -4p

Combine like terms: 4p + -4p = 0
-47 + -19p = 10 + 0
-47 + -19p = 10

Add '47' to each side of the equation.
-47 + 47 + -19p = 10 + 47

Combine like terms: -47 + 47 = 0
0 + -19p = 10 + 47
-19p = 10 + 47

Combine like terms: 10 + 47 = 57
-19p = 57

Divide each side by '-19'.
p = -3

Simplifying
p = -3

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