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Simplifying -3(-4p + 5) = 5(6p + 15) Reorder the terms: -3(5 + -4p) = 5(6p + 15) (5 * -3 + -4p * -3) = 5(6p + 15) (-15 + 12p) = 5(6p + 15) Reorder the terms: -15 + 12p = 5(15 + 6p) -15 + 12p = (15 * 5 + 6p * 5) -15 + 12p = (75 + 30p) Solving -15 + 12p = 75 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. -15 + 12p + -30p = 75 + 30p + -30p Combine like terms: 12p + -30p = -18p -15 + -18p = 75 + 30p + -30p Combine like terms: 30p + -30p = 0 -15 + -18p = 75 + 0 -15 + -18p = 75 Add '15' to each side of the equation. -15 + 15 + -18p = 75 + 15 Combine like terms: -15 + 15 = 0 0 + -18p = 75 + 15 -18p = 75 + 15 Combine like terms: 75 + 15 = 90 -18p = 90 Divide each side by '-18'. p = -5 Simplifying p = -5
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