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Simplifying 5(20 + p) = 3(30 + p) (20 * 5 + p * 5) = 3(30 + p) (100 + 5p) = 3(30 + p) 100 + 5p = (30 * 3 + p * 3) 100 + 5p = (90 + 3p) Solving 100 + 5p = 90 + 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. 100 + 5p + -3p = 90 + 3p + -3p Combine like terms: 5p + -3p = 2p 100 + 2p = 90 + 3p + -3p Combine like terms: 3p + -3p = 0 100 + 2p = 90 + 0 100 + 2p = 90 Add '-100' to each side of the equation. 100 + -100 + 2p = 90 + -100 Combine like terms: 100 + -100 = 0 0 + 2p = 90 + -100 2p = 90 + -100 Combine like terms: 90 + -100 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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