3p-38=-4(6p-8)-8p

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Solution for 3p-38=-4(6p-8)-8p equation: 


Simplifying
3p + -38 = -4(6p + -8) + -8p

Reorder the terms:
-38 + 3p = -4(6p + -8) + -8p

Reorder the terms:
-38 + 3p = -4(-8 + 6p) + -8p
-38 + 3p = (-8 * -4 + 6p * -4) + -8p
-38 + 3p = (32 + -24p) + -8p

Combine like terms: -24p + -8p = -32p
-38 + 3p = 32 + -32p

Solving
-38 + 3p = 32 + -32p

Solving for variable 'p'.

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

Add '32p' to each side of the equation.
-38 + 3p + 32p = 32 + -32p + 32p

Combine like terms: 3p + 32p = 35p
-38 + 35p = 32 + -32p + 32p

Combine like terms: -32p + 32p = 0
-38 + 35p = 32 + 0
-38 + 35p = 32

Add '38' to each side of the equation.
-38 + 38 + 35p = 32 + 38

Combine like terms: -38 + 38 = 0
0 + 35p = 32 + 38
35p = 32 + 38

Combine like terms: 32 + 38 = 70
35p = 70

Divide each side by '35'.
p = 2

Simplifying
p = 2

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