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Simplifying -0.1p + -0.04(2 + -4p) = 0.04(p + -6) + -0.18 -0.1p + (2 * -0.04 + -4p * -0.04) = 0.04(p + -6) + -0.18 -0.1p + (-0.08 + 0.16p) = 0.04(p + -6) + -0.18 Reorder the terms: -0.08 + -0.1p + 0.16p = 0.04(p + -6) + -0.18 Combine like terms: -0.1p + 0.16p = 0.06p -0.08 + 0.06p = 0.04(p + -6) + -0.18 Reorder the terms: -0.08 + 0.06p = 0.04(-6 + p) + -0.18 -0.08 + 0.06p = (-6 * 0.04 + p * 0.04) + -0.18 -0.08 + 0.06p = (-0.24 + 0.04p) + -0.18 Reorder the terms: -0.08 + 0.06p = -0.24 + -0.18 + 0.04p Combine like terms: -0.24 + -0.18 = -0.42 -0.08 + 0.06p = -0.42 + 0.04p Solving -0.08 + 0.06p = -0.42 + 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. -0.08 + 0.06p + -0.04p = -0.42 + 0.04p + -0.04p Combine like terms: 0.06p + -0.04p = 0.02p -0.08 + 0.02p = -0.42 + 0.04p + -0.04p Combine like terms: 0.04p + -0.04p = 0.00 -0.08 + 0.02p = -0.42 + 0.00 -0.08 + 0.02p = -0.42 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.02p = -0.42 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.02p = -0.42 + 0.08 0.02p = -0.42 + 0.08 Combine like terms: -0.42 + 0.08 = -0.34 0.02p = -0.34 Divide each side by '0.02'. p = -17 Simplifying p = -17
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