10p-2(3p-6)=4(3p-6)-7p

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Solution for 10p-2(3p-6)=4(3p-6)-7p equation: 


Simplifying
10p + -2(3p + -6) = 4(3p + -6) + -7p

Reorder the terms:
10p + -2(-6 + 3p) = 4(3p + -6) + -7p
10p + (-6 * -2 + 3p * -2) = 4(3p + -6) + -7p
10p + (12 + -6p) = 4(3p + -6) + -7p

Reorder the terms:
12 + 10p + -6p = 4(3p + -6) + -7p

Combine like terms: 10p + -6p = 4p
12 + 4p = 4(3p + -6) + -7p

Reorder the terms:
12 + 4p = 4(-6 + 3p) + -7p
12 + 4p = (-6 * 4 + 3p * 4) + -7p
12 + 4p = (-24 + 12p) + -7p

Combine like terms: 12p + -7p = 5p
12 + 4p = -24 + 5p

Solving
12 + 4p = -24 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
12 + 4p + -5p = -24 + 5p + -5p

Combine like terms: 4p + -5p = -1p
12 + -1p = -24 + 5p + -5p

Combine like terms: 5p + -5p = 0
12 + -1p = -24 + 0
12 + -1p = -24

Add '-12' to each side of the equation.
12 + -12 + -1p = -24 + -12

Combine like terms: 12 + -12 = 0
0 + -1p = -24 + -12
-1p = -24 + -12

Combine like terms: -24 + -12 = -36
-1p = -36

Divide each side by '-1'.
p = 36

Simplifying
p = 36

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