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

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


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

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

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

Combine like terms: 10p + -6p = 4p
12 + 4p = -3(4m + -2)

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

Solving
12 + 4p = 6 + -12m

Solving for variable 'p'.

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

Add '-12' to each side of the equation.
12 + -12 + 4p = 6 + -12 + -12m

Combine like terms: 12 + -12 = 0
0 + 4p = 6 + -12 + -12m
4p = 6 + -12 + -12m

Combine like terms: 6 + -12 = -6
4p = -6 + -12m

Divide each side by '4'.
p = -1.5 + -3m

Simplifying
p = -1.5 + -3m

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