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

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


Simplifying
3(4 + 4p) = 4(p + -5)
(4 * 3 + 4p * 3) = 4(p + -5)
(12 + 12p) = 4(p + -5)

Reorder the terms:
12 + 12p = 4(-5 + p)
12 + 12p = (-5 * 4 + p * 4)
12 + 12p = (-20 + 4p)

Solving
12 + 12p = -20 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
12 + 12p + -4p = -20 + 4p + -4p

Combine like terms: 12p + -4p = 8p
12 + 8p = -20 + 4p + -4p

Combine like terms: 4p + -4p = 0
12 + 8p = -20 + 0
12 + 8p = -20

Add '-12' to each side of the equation.
12 + -12 + 8p = -20 + -12

Combine like terms: 12 + -12 = 0
0 + 8p = -20 + -12
8p = -20 + -12

Combine like terms: -20 + -12 = -32
8p = -32

Divide each side by '8'.
p = -4

Simplifying
p = -4

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