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Simplifying -0.02p + -0.02(6 + -3p) = 0.02(p + -2) + -0.08 -0.02p + (6 * -0.02 + -3p * -0.02) = 0.02(p + -2) + -0.08 -0.02p + (-0.12 + 0.06p) = 0.02(p + -2) + -0.08 Reorder the terms: -0.12 + -0.02p + 0.06p = 0.02(p + -2) + -0.08 Combine like terms: -0.02p + 0.06p = 0.04p -0.12 + 0.04p = 0.02(p + -2) + -0.08 Reorder the terms: -0.12 + 0.04p = 0.02(-2 + p) + -0.08 -0.12 + 0.04p = (-2 * 0.02 + p * 0.02) + -0.08 -0.12 + 0.04p = (-0.04 + 0.02p) + -0.08 Reorder the terms: -0.12 + 0.04p = -0.04 + -0.08 + 0.02p Combine like terms: -0.04 + -0.08 = -0.12 -0.12 + 0.04p = -0.12 + 0.02p Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.04p = -0.12 + 0.12 + 0.02p Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.04p = -0.12 + 0.12 + 0.02p 0.04p = -0.12 + 0.12 + 0.02p Combine like terms: -0.12 + 0.12 = 0.00 0.04p = 0.00 + 0.02p 0.04p = 0.02p Solving 0.04p = 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. 0.04p + -0.02p = 0.02p + -0.02p Combine like terms: 0.04p + -0.02p = 0.02p 0.02p = 0.02p + -0.02p Combine like terms: 0.02p + -0.02p = 0.00 0.02p = 0.00 Divide each side by '0.02'. p = 0 Simplifying p = 0
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