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Simplifying 5(-8p + -10) = 3(12 + p) Reorder the terms: 5(-10 + -8p) = 3(12 + p) (-10 * 5 + -8p * 5) = 3(12 + p) (-50 + -40p) = 3(12 + p) -50 + -40p = (12 * 3 + p * 3) -50 + -40p = (36 + 3p) Solving -50 + -40p = 36 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -50 + -40p + -3p = 36 + 3p + -3p Combine like terms: -40p + -3p = -43p -50 + -43p = 36 + 3p + -3p Combine like terms: 3p + -3p = 0 -50 + -43p = 36 + 0 -50 + -43p = 36 Add '50' to each side of the equation. -50 + 50 + -43p = 36 + 50 Combine like terms: -50 + 50 = 0 0 + -43p = 36 + 50 -43p = 36 + 50 Combine like terms: 36 + 50 = 86 -43p = 86 Divide each side by '-43'. p = -2 Simplifying p = -2
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