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

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


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

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

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

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

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

Combine like terms: 2p + -3p = -1p
10 + -1p = 4p

Solving
10 + -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.
10 + -1p + -4p = 4p + -4p

Combine like terms: -1p + -4p = -5p
10 + -5p = 4p + -4p

Combine like terms: 4p + -4p = 0
10 + -5p = 0

Add '-10' to each side of the equation.
10 + -10 + -5p = 0 + -10

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

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

Divide each side by '-5'.
p = 2

Simplifying
p = 2

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