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Simplifying 5(3p + 2) = 10 + -2p Reorder the terms: 5(2 + 3p) = 10 + -2p (2 * 5 + 3p * 5) = 10 + -2p (10 + 15p) = 10 + -2p Add '-10' to each side of the equation. 10 + -10 + 15p = 10 + -10 + -2p Combine like terms: 10 + -10 = 0 0 + 15p = 10 + -10 + -2p 15p = 10 + -10 + -2p Combine like terms: 10 + -10 = 0 15p = 0 + -2p 15p = -2p Solving 15p = -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 15p + 2p = -2p + 2p Combine like terms: 15p + 2p = 17p 17p = -2p + 2p Combine like terms: -2p + 2p = 0 17p = 0 Divide each side by '17'. p = 0 Simplifying p = 0
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