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Simplifying 5(-6 + -9p) = -3(16p + 17) (-6 * 5 + -9p * 5) = -3(16p + 17) (-30 + -45p) = -3(16p + 17) Reorder the terms: -30 + -45p = -3(17 + 16p) -30 + -45p = (17 * -3 + 16p * -3) -30 + -45p = (-51 + -48p) Solving -30 + -45p = -51 + -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. -30 + -45p + 48p = -51 + -48p + 48p Combine like terms: -45p + 48p = 3p -30 + 3p = -51 + -48p + 48p Combine like terms: -48p + 48p = 0 -30 + 3p = -51 + 0 -30 + 3p = -51 Add '30' to each side of the equation. -30 + 30 + 3p = -51 + 30 Combine like terms: -30 + 30 = 0 0 + 3p = -51 + 30 3p = -51 + 30 Combine like terms: -51 + 30 = -21 3p = -21 Divide each side by '3'. p = -7 Simplifying p = -7
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