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Simplifying -0.04p + -0.06(5 + -2p) = 0.06(p + -2) + -0.18 -0.04p + (5 * -0.06 + -2p * -0.06) = 0.06(p + -2) + -0.18 -0.04p + (-0.3 + 0.12p) = 0.06(p + -2) + -0.18 Reorder the terms: -0.3 + -0.04p + 0.12p = 0.06(p + -2) + -0.18 Combine like terms: -0.04p + 0.12p = 0.08p -0.3 + 0.08p = 0.06(p + -2) + -0.18 Reorder the terms: -0.3 + 0.08p = 0.06(-2 + p) + -0.18 -0.3 + 0.08p = (-2 * 0.06 + p * 0.06) + -0.18 -0.3 + 0.08p = (-0.12 + 0.06p) + -0.18 Reorder the terms: -0.3 + 0.08p = -0.12 + -0.18 + 0.06p Combine like terms: -0.12 + -0.18 = -0.3 -0.3 + 0.08p = -0.3 + 0.06p Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.08p = -0.3 + 0.3 + 0.06p Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.08p = -0.3 + 0.3 + 0.06p 0.08p = -0.3 + 0.3 + 0.06p Combine like terms: -0.3 + 0.3 = 0.0 0.08p = 0.0 + 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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