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Simplifying 0.04(p + -2) = 0.05p + 0.16 Reorder the terms: 0.04(-2 + p) = 0.05p + 0.16 (-2 * 0.04 + p * 0.04) = 0.05p + 0.16 (-0.08 + 0.04p) = 0.05p + 0.16 Reorder the terms: -0.08 + 0.04p = 0.16 + 0.05p Solving -0.08 + 0.04p = 0.16 + 0.05p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.05p' to each side of the equation. -0.08 + 0.04p + -0.05p = 0.16 + 0.05p + -0.05p Combine like terms: 0.04p + -0.05p = -0.01p -0.08 + -0.01p = 0.16 + 0.05p + -0.05p Combine like terms: 0.05p + -0.05p = 0.00 -0.08 + -0.01p = 0.16 + 0.00 -0.08 + -0.01p = 0.16 Add '0.08' to each side of the equation. -0.08 + 0.08 + -0.01p = 0.16 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + -0.01p = 0.16 + 0.08 -0.01p = 0.16 + 0.08 Combine like terms: 0.16 + 0.08 = 0.24 -0.01p = 0.24 Divide each side by '-0.01'. p = -24 Simplifying p = -24
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