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Simplifying -5(-3p + 3) = 8(6p + -6) Reorder the terms: -5(3 + -3p) = 8(6p + -6) (3 * -5 + -3p * -5) = 8(6p + -6) (-15 + 15p) = 8(6p + -6) Reorder the terms: -15 + 15p = 8(-6 + 6p) -15 + 15p = (-6 * 8 + 6p * 8) -15 + 15p = (-48 + 48p) Solving -15 + 15p = -48 + 48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48p' to each side of the equation. -15 + 15p + -48p = -48 + 48p + -48p Combine like terms: 15p + -48p = -33p -15 + -33p = -48 + 48p + -48p Combine like terms: 48p + -48p = 0 -15 + -33p = -48 + 0 -15 + -33p = -48 Add '15' to each side of the equation. -15 + 15 + -33p = -48 + 15 Combine like terms: -15 + 15 = 0 0 + -33p = -48 + 15 -33p = -48 + 15 Combine like terms: -48 + 15 = -33 -33p = -33 Divide each side by '-33'. p = 1 Simplifying p = 1
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