-5(p+2)=2(p-15)+p

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Solution for -5(p+2)=2(p-15)+p equation:


Simplifying
-5(p + 2) = 2(p + -15) + p

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

Reorder the terms:
-10 + -5p = 2(-15 + p) + p
-10 + -5p = (-15 * 2 + p * 2) + p
-10 + -5p = (-30 + 2p) + p

Combine like terms: 2p + p = 3p
-10 + -5p = -30 + 3p

Solving
-10 + -5p = -30 + 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.
-10 + -5p + -3p = -30 + 3p + -3p

Combine like terms: -5p + -3p = -8p
-10 + -8p = -30 + 3p + -3p

Combine like terms: 3p + -3p = 0
-10 + -8p = -30 + 0
-10 + -8p = -30

Add '10' to each side of the equation.
-10 + 10 + -8p = -30 + 10

Combine like terms: -10 + 10 = 0
0 + -8p = -30 + 10
-8p = -30 + 10

Combine like terms: -30 + 10 = -20
-8p = -20

Divide each side by '-8'.
p = 2.5

Simplifying
p = 2.5

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