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Simplifying -0.13p + -0.04(5 + -5p) = 0.03(p + -5) + -0.17 -0.13p + (5 * -0.04 + -5p * -0.04) = 0.03(p + -5) + -0.17 -0.13p + (-0.2 + 0.2p) = 0.03(p + -5) + -0.17 Reorder the terms: -0.2 + -0.13p + 0.2p = 0.03(p + -5) + -0.17 Combine like terms: -0.13p + 0.2p = 0.07p -0.2 + 0.07p = 0.03(p + -5) + -0.17 Reorder the terms: -0.2 + 0.07p = 0.03(-5 + p) + -0.17 -0.2 + 0.07p = (-5 * 0.03 + p * 0.03) + -0.17 -0.2 + 0.07p = (-0.15 + 0.03p) + -0.17 Reorder the terms: -0.2 + 0.07p = -0.15 + -0.17 + 0.03p Combine like terms: -0.15 + -0.17 = -0.32 -0.2 + 0.07p = -0.32 + 0.03p Solving -0.2 + 0.07p = -0.32 + 0.03p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.03p' to each side of the equation. -0.2 + 0.07p + -0.03p = -0.32 + 0.03p + -0.03p Combine like terms: 0.07p + -0.03p = 0.04p -0.2 + 0.04p = -0.32 + 0.03p + -0.03p Combine like terms: 0.03p + -0.03p = 0.00 -0.2 + 0.04p = -0.32 + 0.00 -0.2 + 0.04p = -0.32 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.04p = -0.32 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.04p = -0.32 + 0.2 0.04p = -0.32 + 0.2 Combine like terms: -0.32 + 0.2 = -0.12 0.04p = -0.12 Divide each side by '0.04'. p = -3 Simplifying p = -3
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