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Simplifying -0.02p + -0.05(4 + -2p) = 0.005(p + -4) + -0.18 -0.02p + (4 * -0.05 + -2p * -0.05) = 0.005(p + -4) + -0.18 -0.02p + (-0.2 + 0.1p) = 0.005(p + -4) + -0.18 Reorder the terms: -0.2 + -0.02p + 0.1p = 0.005(p + -4) + -0.18 Combine like terms: -0.02p + 0.1p = 0.08p -0.2 + 0.08p = 0.005(p + -4) + -0.18 Reorder the terms: -0.2 + 0.08p = 0.005(-4 + p) + -0.18 -0.2 + 0.08p = (-4 * 0.005 + p * 0.005) + -0.18 -0.2 + 0.08p = (-0.02 + 0.005p) + -0.18 Reorder the terms: -0.2 + 0.08p = -0.02 + -0.18 + 0.005p Combine like terms: -0.02 + -0.18 = -0.2 -0.2 + 0.08p = -0.2 + 0.005p Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.08p = -0.2 + 0.2 + 0.005p Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.08p = -0.2 + 0.2 + 0.005p 0.08p = -0.2 + 0.2 + 0.005p Combine like terms: -0.2 + 0.2 = 0.0 0.08p = 0.0 + 0.005p 0.08p = 0.005p Solving 0.08p = 0.005p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.005p' to each side of the equation. 0.08p + -0.005p = 0.005p + -0.005p Combine like terms: 0.08p + -0.005p = 0.075p 0.075p = 0.005p + -0.005p Combine like terms: 0.005p + -0.005p = 0.000 0.075p = 0.000 Divide each side by '0.075'. p = 0 Simplifying p = 0
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