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Simplifying 0.5(4p + 10) + -1(p + -9) = 0 Reorder the terms: 0.5(10 + 4p) + -1(p + -9) = 0 (10 * 0.5 + 4p * 0.5) + -1(p + -9) = 0 (5 + 2p) + -1(p + -9) = 0 Reorder the terms: 5 + 2p + -1(-9 + p) = 0 5 + 2p + (-9 * -1 + p * -1) = 0 5 + 2p + (9 + -1p) = 0 Reorder the terms: 5 + 9 + 2p + -1p = 0 Combine like terms: 5 + 9 = 14 14 + 2p + -1p = 0 Combine like terms: 2p + -1p = 1p 14 + 1p = 0 Solving 14 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1p = 0 + -14 1p = 0 + -14 Combine like terms: 0 + -14 = -14 1p = -14 Divide each side by '1'. p = -14 Simplifying p = -14
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