2(p-1)-3(p-4)+12=4p

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Solution for 2(p-1)-3(p-4)+12=4p equation: 


Simplifying
2(p + -1) + -3(p + -4) + 12 = 4p

Reorder the terms:
2(-1 + p) + -3(p + -4) + 12 = 4p
(-1 * 2 + p * 2) + -3(p + -4) + 12 = 4p
(-2 + 2p) + -3(p + -4) + 12 = 4p

Reorder the terms:
-2 + 2p + -3(-4 + p) + 12 = 4p
-2 + 2p + (-4 * -3 + p * -3) + 12 = 4p
-2 + 2p + (12 + -3p) + 12 = 4p

Reorder the terms:
-2 + 12 + 12 + 2p + -3p = 4p

Combine like terms: -2 + 12 = 10
10 + 12 + 2p + -3p = 4p

Combine like terms: 10 + 12 = 22
22 + 2p + -3p = 4p

Combine like terms: 2p + -3p = -1p
22 + -1p = 4p

Solving
22 + -1p = 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.
22 + -1p + -4p = 4p + -4p

Combine like terms: -1p + -4p = -5p
22 + -5p = 4p + -4p

Combine like terms: 4p + -4p = 0
22 + -5p = 0

Add '-22' to each side of the equation.
22 + -22 + -5p = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -5p = 0 + -22
-5p = 0 + -22

Combine like terms: 0 + -22 = -22
-5p = -22

Divide each side by '-5'.
p = 4.4

Simplifying
p = 4.4

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