-3(1-4p)=-6p-3(p-6)

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Solution for -3(1-4p)=-6p-3(p-6) equation:


Simplifying
-3(1 + -4p) = -6p + -3(p + -6)
(1 * -3 + -4p * -3) = -6p + -3(p + -6)
(-3 + 12p) = -6p + -3(p + -6)

Reorder the terms:
-3 + 12p = -6p + -3(-6 + p)
-3 + 12p = -6p + (-6 * -3 + p * -3)
-3 + 12p = -6p + (18 + -3p)

Reorder the terms:
-3 + 12p = 18 + -6p + -3p

Combine like terms: -6p + -3p = -9p
-3 + 12p = 18 + -9p

Solving
-3 + 12p = 18 + -9p

Solving for variable 'p'.

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

Add '9p' to each side of the equation.
-3 + 12p + 9p = 18 + -9p + 9p

Combine like terms: 12p + 9p = 21p
-3 + 21p = 18 + -9p + 9p

Combine like terms: -9p + 9p = 0
-3 + 21p = 18 + 0
-3 + 21p = 18

Add '3' to each side of the equation.
-3 + 3 + 21p = 18 + 3

Combine like terms: -3 + 3 = 0
0 + 21p = 18 + 3
21p = 18 + 3

Combine like terms: 18 + 3 = 21
21p = 21

Divide each side by '21'.
p = 1

Simplifying
p = 1

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