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Simplifying -0.06p + -0.04(2 + -4p) = 0.05(p + -6) + -0.23 -0.06p + (2 * -0.04 + -4p * -0.04) = 0.05(p + -6) + -0.23 -0.06p + (-0.08 + 0.16p) = 0.05(p + -6) + -0.23 Reorder the terms: -0.08 + -0.06p + 0.16p = 0.05(p + -6) + -0.23 Combine like terms: -0.06p + 0.16p = 0.1p -0.08 + 0.1p = 0.05(p + -6) + -0.23 Reorder the terms: -0.08 + 0.1p = 0.05(-6 + p) + -0.23 -0.08 + 0.1p = (-6 * 0.05 + p * 0.05) + -0.23 -0.08 + 0.1p = (-0.3 + 0.05p) + -0.23 Reorder the terms: -0.08 + 0.1p = -0.3 + -0.23 + 0.05p Combine like terms: -0.3 + -0.23 = -0.53 -0.08 + 0.1p = -0.53 + 0.05p Solving -0.08 + 0.1p = -0.53 + 0.05p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.05p' to each side of the equation. -0.08 + 0.1p + -0.05p = -0.53 + 0.05p + -0.05p Combine like terms: 0.1p + -0.05p = 0.05p -0.08 + 0.05p = -0.53 + 0.05p + -0.05p Combine like terms: 0.05p + -0.05p = 0.00 -0.08 + 0.05p = -0.53 + 0.00 -0.08 + 0.05p = -0.53 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.05p = -0.53 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.05p = -0.53 + 0.08 0.05p = -0.53 + 0.08 Combine like terms: -0.53 + 0.08 = -0.45 0.05p = -0.45 Divide each side by '0.05'. p = -9 Simplifying p = -9
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