4p-2(p+5)=-(2p+15)

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Solution for 4p-2(p+5)=-(2p+15) equation:


Simplifying
4p + -2(p + 5) = -1(2p + 15)

Reorder the terms:
4p + -2(5 + p) = -1(2p + 15)
4p + (5 * -2 + p * -2) = -1(2p + 15)
4p + (-10 + -2p) = -1(2p + 15)

Reorder the terms:
-10 + 4p + -2p = -1(2p + 15)

Combine like terms: 4p + -2p = 2p
-10 + 2p = -1(2p + 15)

Reorder the terms:
-10 + 2p = -1(15 + 2p)
-10 + 2p = (15 * -1 + 2p * -1)
-10 + 2p = (-15 + -2p)

Solving
-10 + 2p = -15 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
-10 + 2p + 2p = -15 + -2p + 2p

Combine like terms: 2p + 2p = 4p
-10 + 4p = -15 + -2p + 2p

Combine like terms: -2p + 2p = 0
-10 + 4p = -15 + 0
-10 + 4p = -15

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

Combine like terms: -10 + 10 = 0
0 + 4p = -15 + 10
4p = -15 + 10

Combine like terms: -15 + 10 = -5
4p = -5

Divide each side by '4'.
p = -1.25

Simplifying
p = -1.25

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