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Simplifying -0.04p + -0.04(6 + -3p) = 0.06(p + -3) + -0.06 -0.04p + (6 * -0.04 + -3p * -0.04) = 0.06(p + -3) + -0.06 -0.04p + (-0.24 + 0.12p) = 0.06(p + -3) + -0.06 Reorder the terms: -0.24 + -0.04p + 0.12p = 0.06(p + -3) + -0.06 Combine like terms: -0.04p + 0.12p = 0.08p -0.24 + 0.08p = 0.06(p + -3) + -0.06 Reorder the terms: -0.24 + 0.08p = 0.06(-3 + p) + -0.06 -0.24 + 0.08p = (-3 * 0.06 + p * 0.06) + -0.06 -0.24 + 0.08p = (-0.18 + 0.06p) + -0.06 Reorder the terms: -0.24 + 0.08p = -0.18 + -0.06 + 0.06p Combine like terms: -0.18 + -0.06 = -0.24 -0.24 + 0.08p = -0.24 + 0.06p Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.08p = -0.24 + 0.24 + 0.06p Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.08p = -0.24 + 0.24 + 0.06p 0.08p = -0.24 + 0.24 + 0.06p Combine like terms: -0.24 + 0.24 = 0.00 0.08p = 0.00 + 0.06p 0.08p = 0.06p Solving 0.08p = 0.06p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.06p' to each side of the equation. 0.08p + -0.06p = 0.06p + -0.06p Combine like terms: 0.08p + -0.06p = 0.02p 0.02p = 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 0.02p = 0.00 Divide each side by '0.02'. p = 0 Simplifying p = 0
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