-42=-3(3p-4)+3(p-6)

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Solution for -42=-3(3p-4)+3(p-6) equation:


Simplifying
-42 = -3(3p + -4) + 3(p + -6)

Reorder the terms:
-42 = -3(-4 + 3p) + 3(p + -6)
-42 = (-4 * -3 + 3p * -3) + 3(p + -6)
-42 = (12 + -9p) + 3(p + -6)

Reorder the terms:
-42 = 12 + -9p + 3(-6 + p)
-42 = 12 + -9p + (-6 * 3 + p * 3)
-42 = 12 + -9p + (-18 + 3p)

Reorder the terms:
-42 = 12 + -18 + -9p + 3p

Combine like terms: 12 + -18 = -6
-42 = -6 + -9p + 3p

Combine like terms: -9p + 3p = -6p
-42 = -6 + -6p

Solving
-42 = -6 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
-42 + 6p = -6 + -6p + 6p

Combine like terms: -6p + 6p = 0
-42 + 6p = -6 + 0
-42 + 6p = -6

Add '42' to each side of the equation.
-42 + 42 + 6p = -6 + 42

Combine like terms: -42 + 42 = 0
0 + 6p = -6 + 42
6p = -6 + 42

Combine like terms: -6 + 42 = 36
6p = 36

Divide each side by '6'.
p = 6

Simplifying
p = 6

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