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Simplifying 0.04p + -0.03(5 + -2p) = 0.06(p + -6) + -0.23 0.04p + (5 * -0.03 + -2p * -0.03) = 0.06(p + -6) + -0.23 0.04p + (-0.15 + 0.06p) = 0.06(p + -6) + -0.23 Reorder the terms: -0.15 + 0.04p + 0.06p = 0.06(p + -6) + -0.23 Combine like terms: 0.04p + 0.06p = 0.1p -0.15 + 0.1p = 0.06(p + -6) + -0.23 Reorder the terms: -0.15 + 0.1p = 0.06(-6 + p) + -0.23 -0.15 + 0.1p = (-6 * 0.06 + p * 0.06) + -0.23 -0.15 + 0.1p = (-0.36 + 0.06p) + -0.23 Reorder the terms: -0.15 + 0.1p = -0.36 + -0.23 + 0.06p Combine like terms: -0.36 + -0.23 = -0.59 -0.15 + 0.1p = -0.59 + 0.06p Solving -0.15 + 0.1p = -0.59 + 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. -0.15 + 0.1p + -0.06p = -0.59 + 0.06p + -0.06p Combine like terms: 0.1p + -0.06p = 0.04p -0.15 + 0.04p = -0.59 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 -0.15 + 0.04p = -0.59 + 0.00 -0.15 + 0.04p = -0.59 Add '0.15' to each side of the equation. -0.15 + 0.15 + 0.04p = -0.59 + 0.15 Combine like terms: -0.15 + 0.15 = 0.00 0.00 + 0.04p = -0.59 + 0.15 0.04p = -0.59 + 0.15 Combine like terms: -0.59 + 0.15 = -0.44 0.04p = -0.44 Divide each side by '0.04'. p = -11 Simplifying p = -11
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