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Simplifying -4(3p + 2) = 3(6p + -6) Reorder the terms: -4(2 + 3p) = 3(6p + -6) (2 * -4 + 3p * -4) = 3(6p + -6) (-8 + -12p) = 3(6p + -6) Reorder the terms: -8 + -12p = 3(-6 + 6p) -8 + -12p = (-6 * 3 + 6p * 3) -8 + -12p = (-18 + 18p) Solving -8 + -12p = -18 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -8 + -12p + -18p = -18 + 18p + -18p Combine like terms: -12p + -18p = -30p -8 + -30p = -18 + 18p + -18p Combine like terms: 18p + -18p = 0 -8 + -30p = -18 + 0 -8 + -30p = -18 Add '8' to each side of the equation. -8 + 8 + -30p = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -30p = -18 + 8 -30p = -18 + 8 Combine like terms: -18 + 8 = -10 -30p = -10 Divide each side by '-30'. p = 0.3333333333 Simplifying p = 0.3333333333
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