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Simplifying 0.025(20 + 4p) + -0.5(10 + 2p) = 0 (20 * 0.025 + 4p * 0.025) + -0.5(10 + 2p) = 0 (0.5 + 0.1p) + -0.5(10 + 2p) = 0 0.5 + 0.1p + (10 * -0.5 + 2p * -0.5) = 0 0.5 + 0.1p + (-5 + -1p) = 0 Reorder the terms: 0.5 + -5 + 0.1p + -1p = 0 Combine like terms: 0.5 + -5 = -4.5 -4.5 + 0.1p + -1p = 0 Combine like terms: 0.1p + -1p = -0.9p -4.5 + -0.9p = 0 Solving -4.5 + -0.9p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + -0.9p = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -0.9p = 0 + 4.5 -0.9p = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 -0.9p = 4.5 Divide each side by '-0.9'. p = -5 Simplifying p = -5
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