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Simplifying 3(-15p + 20) = 5(18 + -10p) Reorder the terms: 3(20 + -15p) = 5(18 + -10p) (20 * 3 + -15p * 3) = 5(18 + -10p) (60 + -45p) = 5(18 + -10p) 60 + -45p = (18 * 5 + -10p * 5) 60 + -45p = (90 + -50p) Solving 60 + -45p = 90 + -50p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '50p' to each side of the equation. 60 + -45p + 50p = 90 + -50p + 50p Combine like terms: -45p + 50p = 5p 60 + 5p = 90 + -50p + 50p Combine like terms: -50p + 50p = 0 60 + 5p = 90 + 0 60 + 5p = 90 Add '-60' to each side of the equation. 60 + -60 + 5p = 90 + -60 Combine like terms: 60 + -60 = 0 0 + 5p = 90 + -60 5p = 90 + -60 Combine like terms: 90 + -60 = 30 5p = 30 Divide each side by '5'. p = 6 Simplifying p = 6
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