9p-4(p-5)=5(2p+8)

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Solution for 9p-4(p-5)=5(2p+8) equation: 


Simplifying
9p + -4(p + -5) = 5(2p + 8)

Reorder the terms:
9p + -4(-5 + p) = 5(2p + 8)
9p + (-5 * -4 + p * -4) = 5(2p + 8)
9p + (20 + -4p) = 5(2p + 8)

Reorder the terms:
20 + 9p + -4p = 5(2p + 8)

Combine like terms: 9p + -4p = 5p
20 + 5p = 5(2p + 8)

Reorder the terms:
20 + 5p = 5(8 + 2p)
20 + 5p = (8 * 5 + 2p * 5)
20 + 5p = (40 + 10p)

Solving
20 + 5p = 40 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
20 + 5p + -10p = 40 + 10p + -10p

Combine like terms: 5p + -10p = -5p
20 + -5p = 40 + 10p + -10p

Combine like terms: 10p + -10p = 0
20 + -5p = 40 + 0
20 + -5p = 40

Add '-20' to each side of the equation.
20 + -20 + -5p = 40 + -20

Combine like terms: 20 + -20 = 0
0 + -5p = 40 + -20
-5p = 40 + -20

Combine like terms: 40 + -20 = 20
-5p = 20

Divide each side by '-5'.
p = -4

Simplifying
p = -4

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