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Simplifying 5(2 + 1p) = 3(1p + 6) (2 * 5 + 1p * 5) = 3(1p + 6) (10 + 5p) = 3(1p + 6) Reorder the terms: 10 + 5p = 3(6 + 1p) 10 + 5p = (6 * 3 + 1p * 3) 10 + 5p = (18 + 3p) Solving 10 + 5p = 18 + 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. 10 + 5p + -3p = 18 + 3p + -3p Combine like terms: 5p + -3p = 2p 10 + 2p = 18 + 3p + -3p Combine like terms: 3p + -3p = 0 10 + 2p = 18 + 0 10 + 2p = 18 Add '-10' to each side of the equation. 10 + -10 + 2p = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 2p = 18 + -10 2p = 18 + -10 Combine like terms: 18 + -10 = 8 2p = 8 Divide each side by '2'. p = 4 Simplifying p = 4
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