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Simplifying -0.04p + -0.02(4 + -5p) = 0.03(p + -4) + -0.14 -0.04p + (4 * -0.02 + -5p * -0.02) = 0.03(p + -4) + -0.14 -0.04p + (-0.08 + 0.1p) = 0.03(p + -4) + -0.14 Reorder the terms: -0.08 + -0.04p + 0.1p = 0.03(p + -4) + -0.14 Combine like terms: -0.04p + 0.1p = 0.06p -0.08 + 0.06p = 0.03(p + -4) + -0.14 Reorder the terms: -0.08 + 0.06p = 0.03(-4 + p) + -0.14 -0.08 + 0.06p = (-4 * 0.03 + p * 0.03) + -0.14 -0.08 + 0.06p = (-0.12 + 0.03p) + -0.14 Reorder the terms: -0.08 + 0.06p = -0.12 + -0.14 + 0.03p Combine like terms: -0.12 + -0.14 = -0.26 -0.08 + 0.06p = -0.26 + 0.03p Solving -0.08 + 0.06p = -0.26 + 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. -0.08 + 0.06p + -0.03p = -0.26 + 0.03p + -0.03p Combine like terms: 0.06p + -0.03p = 0.03p -0.08 + 0.03p = -0.26 + 0.03p + -0.03p Combine like terms: 0.03p + -0.03p = 0.00 -0.08 + 0.03p = -0.26 + 0.00 -0.08 + 0.03p = -0.26 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.03p = -0.26 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.03p = -0.26 + 0.08 0.03p = -0.26 + 0.08 Combine like terms: -0.26 + 0.08 = -0.18 0.03p = -0.18 Divide each side by '0.03'. p = -6 Simplifying p = -6
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