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

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


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

Reorder the terms:
4 + 4(4 + 2p) = 3(p + -5) + 5
4 + (4 * 4 + 2p * 4) = 3(p + -5) + 5
4 + (16 + 8p) = 3(p + -5) + 5

Combine like terms: 4 + 16 = 20
20 + 8p = 3(p + -5) + 5

Reorder the terms:
20 + 8p = 3(-5 + p) + 5
20 + 8p = (-5 * 3 + p * 3) + 5
20 + 8p = (-15 + 3p) + 5

Reorder the terms:
20 + 8p = -15 + 5 + 3p

Combine like terms: -15 + 5 = -10
20 + 8p = -10 + 3p

Solving
20 + 8p = -10 + 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.
20 + 8p + -3p = -10 + 3p + -3p

Combine like terms: 8p + -3p = 5p
20 + 5p = -10 + 3p + -3p

Combine like terms: 3p + -3p = 0
20 + 5p = -10 + 0
20 + 5p = -10

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

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

Combine like terms: -10 + -20 = -30
5p = -30

Divide each side by '5'.
p = -6

Simplifying
p = -6

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