8-3(p-4)=p

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Solution for 8-3(p-4)=p equation:


Simplifying
8 + -3(p + -4) = p

Reorder the terms:
8 + -3(-4 + p) = p
8 + (-4 * -3 + p * -3) = p
8 + (12 + -3p) = p

Combine like terms: 8 + 12 = 20
20 + -3p = p

Solving
20 + -3p = p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
20 + -3p + -1p = p + -1p

Combine like terms: -3p + -1p = -4p
20 + -4p = p + -1p

Combine like terms: p + -1p = 0
20 + -4p = 0

Add '-20' to each side of the equation.
20 + -20 + -4p = 0 + -20

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

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

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

Simplifying
p = 5

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