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Simplifying 0.25(20 + 4P) + -0.5(8 + 2p) = 0 (20 * 0.25 + 4P * 0.25) + -0.5(8 + 2p) = 0 (5 + 1P) + -0.5(8 + 2p) = 0 5 + 1P + (8 * -0.5 + 2p * -0.5) = 0 5 + 1P + (-4 + -1p) = 0 Reorder the terms: 5 + -4 + 1P + -1p = 0 Combine like terms: 5 + -4 = 1 1 + 1P + -1p = 0 Solving 1 + 1P + -1p = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 1P + -1 + -1p = 0 + -1 Reorder the terms: 1 + -1 + 1P + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1P + -1p = 0 + -1 1P + -1p = 0 + -1 Combine like terms: 0 + -1 = -1 1P + -1p = -1 Add 'p' to each side of the equation. 1P + -1p + p = -1 + p Combine like terms: -1p + p = 0 1P + 0 = -1 + p 1P = -1 + p Divide each side by '1'. P = -1 + p Simplifying P = -1 + p
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