-4p-3(3-4p)=3(p-5)-34

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Solution for -4p-3(3-4p)=3(p-5)-34 equation:


Simplifying
-4p + -3(3 + -4p) = 3(p + -5) + -34
-4p + (3 * -3 + -4p * -3) = 3(p + -5) + -34
-4p + (-9 + 12p) = 3(p + -5) + -34

Reorder the terms:
-9 + -4p + 12p = 3(p + -5) + -34

Combine like terms: -4p + 12p = 8p
-9 + 8p = 3(p + -5) + -34

Reorder the terms:
-9 + 8p = 3(-5 + p) + -34
-9 + 8p = (-5 * 3 + p * 3) + -34
-9 + 8p = (-15 + 3p) + -34

Reorder the terms:
-9 + 8p = -15 + -34 + 3p

Combine like terms: -15 + -34 = -49
-9 + 8p = -49 + 3p

Solving
-9 + 8p = -49 + 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.
-9 + 8p + -3p = -49 + 3p + -3p

Combine like terms: 8p + -3p = 5p
-9 + 5p = -49 + 3p + -3p

Combine like terms: 3p + -3p = 0
-9 + 5p = -49 + 0
-9 + 5p = -49

Add '9' to each side of the equation.
-9 + 9 + 5p = -49 + 9

Combine like terms: -9 + 9 = 0
0 + 5p = -49 + 9
5p = -49 + 9

Combine like terms: -49 + 9 = -40
5p = -40

Divide each side by '5'.
p = -8

Simplifying
p = -8

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