8-3(p-4)=4p-20-p

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Solution for 8-3(p-4)=4p-20-p equation: 


Simplifying
8 + -3(p + -4) = 4p + -20 + -1p

Reorder the terms:
8 + -3(-4 + p) = 4p + -20 + -1p
8 + (-4 * -3 + p * -3) = 4p + -20 + -1p
8 + (12 + -3p) = 4p + -20 + -1p

Combine like terms: 8 + 12 = 20
20 + -3p = 4p + -20 + -1p

Reorder the terms:
20 + -3p = -20 + 4p + -1p

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

Solving
20 + -3p = -20 + 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 + -3p + -3p = -20 + 3p + -3p

Combine like terms: -3p + -3p = -6p
20 + -6p = -20 + 3p + -3p

Combine like terms: 3p + -3p = 0
20 + -6p = -20 + 0
20 + -6p = -20

Add '-20' to each side of the equation.
20 + -20 + -6p = -20 + -20

Combine like terms: 20 + -20 = 0
0 + -6p = -20 + -20
-6p = -20 + -20

Combine like terms: -20 + -20 = -40
-6p = -40

Divide each side by '-6'.
p = 6.666666667

Simplifying
p = 6.666666667

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