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

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


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

Reorder the terms:
10 + -2(-6 + 3p) = 4(3p + -6) + -8p
10 + (-6 * -2 + 3p * -2) = 4(3p + -6) + -8p
10 + (12 + -6p) = 4(3p + -6) + -8p

Combine like terms: 10 + 12 = 22
22 + -6p = 4(3p + -6) + -8p

Reorder the terms:
22 + -6p = 4(-6 + 3p) + -8p
22 + -6p = (-6 * 4 + 3p * 4) + -8p
22 + -6p = (-24 + 12p) + -8p

Combine like terms: 12p + -8p = 4p
22 + -6p = -24 + 4p

Solving
22 + -6p = -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.
22 + -6p + -4p = -24 + 4p + -4p

Combine like terms: -6p + -4p = -10p
22 + -10p = -24 + 4p + -4p

Combine like terms: 4p + -4p = 0
22 + -10p = -24 + 0
22 + -10p = -24

Add '-22' to each side of the equation.
22 + -22 + -10p = -24 + -22

Combine like terms: 22 + -22 = 0
0 + -10p = -24 + -22
-10p = -24 + -22

Combine like terms: -24 + -22 = -46
-10p = -46

Divide each side by '-10'.
p = 4.6

Simplifying
p = 4.6

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