10p-2(30-6)=4(3p-6)-8p

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Solution for 10p-2(30-6)=4(3p-6)-8p equation: 


Simplifying
10p + -2(30 + -6) = 4(3p + -6) + -8p

Combine like terms: 30 + -6 = 24
10p + -2(24) = 4(3p + -6) + -8p

Multiply -2 * 24
10p + -48 = 4(3p + -6) + -8p

Reorder the terms:
-48 + 10p = 4(3p + -6) + -8p

Reorder the terms:
-48 + 10p = 4(-6 + 3p) + -8p
-48 + 10p = (-6 * 4 + 3p * 4) + -8p
-48 + 10p = (-24 + 12p) + -8p

Combine like terms: 12p + -8p = 4p
-48 + 10p = -24 + 4p

Solving
-48 + 10p = -24 + 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.
-48 + 10p + -4p = -24 + 4p + -4p

Combine like terms: 10p + -4p = 6p
-48 + 6p = -24 + 4p + -4p

Combine like terms: 4p + -4p = 0
-48 + 6p = -24 + 0
-48 + 6p = -24

Add '48' to each side of the equation.
-48 + 48 + 6p = -24 + 48

Combine like terms: -48 + 48 = 0
0 + 6p = -24 + 48
6p = -24 + 48

Combine like terms: -24 + 48 = 24
6p = 24

Divide each side by '6'.
p = 4

Simplifying
p = 4

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