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Simplifying 4(5p + 5) = 5(2p + 10) Reorder the terms: 4(5 + 5p) = 5(2p + 10) (5 * 4 + 5p * 4) = 5(2p + 10) (20 + 20p) = 5(2p + 10) Reorder the terms: 20 + 20p = 5(10 + 2p) 20 + 20p = (10 * 5 + 2p * 5) 20 + 20p = (50 + 10p) Solving 20 + 20p = 50 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 20 + 20p + -10p = 50 + 10p + -10p Combine like terms: 20p + -10p = 10p 20 + 10p = 50 + 10p + -10p Combine like terms: 10p + -10p = 0 20 + 10p = 50 + 0 20 + 10p = 50 Add '-20' to each side of the equation. 20 + -20 + 10p = 50 + -20 Combine like terms: 20 + -20 = 0 0 + 10p = 50 + -20 10p = 50 + -20 Combine like terms: 50 + -20 = 30 10p = 30 Divide each side by '10'. p = 3 Simplifying p = 3
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