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Simplifying -0.13p + -0.05(3 + -4p) = 0.04(p + -2) + -0.25 -0.13p + (3 * -0.05 + -4p * -0.05) = 0.04(p + -2) + -0.25 -0.13p + (-0.15 + 0.2p) = 0.04(p + -2) + -0.25 Reorder the terms: -0.15 + -0.13p + 0.2p = 0.04(p + -2) + -0.25 Combine like terms: -0.13p + 0.2p = 0.07p -0.15 + 0.07p = 0.04(p + -2) + -0.25 Reorder the terms: -0.15 + 0.07p = 0.04(-2 + p) + -0.25 -0.15 + 0.07p = (-2 * 0.04 + p * 0.04) + -0.25 -0.15 + 0.07p = (-0.08 + 0.04p) + -0.25 Reorder the terms: -0.15 + 0.07p = -0.08 + -0.25 + 0.04p Combine like terms: -0.08 + -0.25 = -0.33 -0.15 + 0.07p = -0.33 + 0.04p Solving -0.15 + 0.07p = -0.33 + 0.04p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.04p' to each side of the equation. -0.15 + 0.07p + -0.04p = -0.33 + 0.04p + -0.04p Combine like terms: 0.07p + -0.04p = 0.03p -0.15 + 0.03p = -0.33 + 0.04p + -0.04p Combine like terms: 0.04p + -0.04p = 0.00 -0.15 + 0.03p = -0.33 + 0.00 -0.15 + 0.03p = -0.33 Add '0.15' to each side of the equation. -0.15 + 0.15 + 0.03p = -0.33 + 0.15 Combine like terms: -0.15 + 0.15 = 0.00 0.00 + 0.03p = -0.33 + 0.15 0.03p = -0.33 + 0.15 Combine like terms: -0.33 + 0.15 = -0.18 0.03p = -0.18 Divide each side by '0.03'. p = -6 Simplifying p = -6
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