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

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


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

Reorder the terms:
-5(3 + p) = 4(2p + -7)
(3 * -5 + p * -5) = 4(2p + -7)
(-15 + -5p) = 4(2p + -7)

Reorder the terms:
-15 + -5p = 4(-7 + 2p)
-15 + -5p = (-7 * 4 + 2p * 4)
-15 + -5p = (-28 + 8p)

Solving
-15 + -5p = -28 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
-15 + -5p + -8p = -28 + 8p + -8p

Combine like terms: -5p + -8p = -13p
-15 + -13p = -28 + 8p + -8p

Combine like terms: 8p + -8p = 0
-15 + -13p = -28 + 0
-15 + -13p = -28

Add '15' to each side of the equation.
-15 + 15 + -13p = -28 + 15

Combine like terms: -15 + 15 = 0
0 + -13p = -28 + 15
-13p = -28 + 15

Combine like terms: -28 + 15 = -13
-13p = -13

Divide each side by '-13'.
p = 1

Simplifying
p = 1

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