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Simplifying 5(20 + p) = 3(14 + -1d) (20 * 5 + p * 5) = 3(14 + -1d) (100 + 5p) = 3(14 + -1d) 100 + 5p = (14 * 3 + -1d * 3) 100 + 5p = (42 + -3d) Solving 100 + 5p = 42 + -3d Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 5p = 42 + -100 + -3d Combine like terms: 100 + -100 = 0 0 + 5p = 42 + -100 + -3d 5p = 42 + -100 + -3d Combine like terms: 42 + -100 = -58 5p = -58 + -3d Divide each side by '5'. p = -11.6 + -0.6d Simplifying p = -11.6 + -0.6d
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