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Simplifying -0.02p + -0.02(2 + -4p) = 0.02(p + -5) + -0.18 -0.02p + (2 * -0.02 + -4p * -0.02) = 0.02(p + -5) + -0.18 -0.02p + (-0.04 + 0.08p) = 0.02(p + -5) + -0.18 Reorder the terms: -0.04 + -0.02p + 0.08p = 0.02(p + -5) + -0.18 Combine like terms: -0.02p + 0.08p = 0.06p -0.04 + 0.06p = 0.02(p + -5) + -0.18 Reorder the terms: -0.04 + 0.06p = 0.02(-5 + p) + -0.18 -0.04 + 0.06p = (-5 * 0.02 + p * 0.02) + -0.18 -0.04 + 0.06p = (-0.1 + 0.02p) + -0.18 Reorder the terms: -0.04 + 0.06p = -0.1 + -0.18 + 0.02p Combine like terms: -0.1 + -0.18 = -0.28 -0.04 + 0.06p = -0.28 + 0.02p Solving -0.04 + 0.06p = -0.28 + 0.02p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.02p' to each side of the equation. -0.04 + 0.06p + -0.02p = -0.28 + 0.02p + -0.02p Combine like terms: 0.06p + -0.02p = 0.04p -0.04 + 0.04p = -0.28 + 0.02p + -0.02p Combine like terms: 0.02p + -0.02p = 0.00 -0.04 + 0.04p = -0.28 + 0.00 -0.04 + 0.04p = -0.28 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.04p = -0.28 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.04p = -0.28 + 0.04 0.04p = -0.28 + 0.04 Combine like terms: -0.28 + 0.04 = -0.24 0.04p = -0.24 Divide each side by '0.04'. p = -6 Simplifying p = -6
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