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Simplifying 0.06p + -0.02(4 + -2p) = 0.06(p + -4) + -0.36 0.06p + (4 * -0.02 + -2p * -0.02) = 0.06(p + -4) + -0.36 0.06p + (-0.08 + 0.04p) = 0.06(p + -4) + -0.36 Reorder the terms: -0.08 + 0.06p + 0.04p = 0.06(p + -4) + -0.36 Combine like terms: 0.06p + 0.04p = 0.1p -0.08 + 0.1p = 0.06(p + -4) + -0.36 Reorder the terms: -0.08 + 0.1p = 0.06(-4 + p) + -0.36 -0.08 + 0.1p = (-4 * 0.06 + p * 0.06) + -0.36 -0.08 + 0.1p = (-0.24 + 0.06p) + -0.36 Reorder the terms: -0.08 + 0.1p = -0.24 + -0.36 + 0.06p Combine like terms: -0.24 + -0.36 = -0.6 -0.08 + 0.1p = -0.6 + 0.06p Solving -0.08 + 0.1p = -0.6 + 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. -0.08 + 0.1p + -0.06p = -0.6 + 0.06p + -0.06p Combine like terms: 0.1p + -0.06p = 0.04p -0.08 + 0.04p = -0.6 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 -0.08 + 0.04p = -0.6 + 0.00 -0.08 + 0.04p = -0.6 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.04p = -0.6 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.04p = -0.6 + 0.08 0.04p = -0.6 + 0.08 Combine like terms: -0.6 + 0.08 = -0.52 0.04p = -0.52 Divide each side by '0.04'. p = -13 Simplifying p = -13
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