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Simplifying 3(p + 5) + -2(p + 3) = 10 Reorder the terms: 3(5 + p) + -2(p + 3) = 10 (5 * 3 + p * 3) + -2(p + 3) = 10 (15 + 3p) + -2(p + 3) = 10 Reorder the terms: 15 + 3p + -2(3 + p) = 10 15 + 3p + (3 * -2 + p * -2) = 10 15 + 3p + (-6 + -2p) = 10 Reorder the terms: 15 + -6 + 3p + -2p = 10 Combine like terms: 15 + -6 = 9 9 + 3p + -2p = 10 Combine like terms: 3p + -2p = 1p 9 + 1p = 10 Solving 9 + 1p = 10 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1p = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 1p = 10 + -9 1p = 10 + -9 Combine like terms: 10 + -9 = 1 1p = 1 Divide each side by '1'. p = 1 Simplifying p = 1
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