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Simplifying 4(3 + -5p) = 5(3p + 3) (3 * 4 + -5p * 4) = 5(3p + 3) (12 + -20p) = 5(3p + 3) Reorder the terms: 12 + -20p = 5(3 + 3p) 12 + -20p = (3 * 5 + 3p * 5) 12 + -20p = (15 + 15p) Solving 12 + -20p = 15 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 12 + -20p + -15p = 15 + 15p + -15p Combine like terms: -20p + -15p = -35p 12 + -35p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 12 + -35p = 15 + 0 12 + -35p = 15 Add '-12' to each side of the equation. 12 + -12 + -35p = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -35p = 15 + -12 -35p = 15 + -12 Combine like terms: 15 + -12 = 3 -35p = 3 Divide each side by '-35'. p = -0.08571428571 Simplifying p = -0.08571428571
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