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Simplifying -0.06p + -0.03(6 + -5p) = 0.05(p + -4) + -0.14 -0.06p + (6 * -0.03 + -5p * -0.03) = 0.05(p + -4) + -0.14 -0.06p + (-0.18 + 0.15p) = 0.05(p + -4) + -0.14 Reorder the terms: -0.18 + -0.06p + 0.15p = 0.05(p + -4) + -0.14 Combine like terms: -0.06p + 0.15p = 0.09p -0.18 + 0.09p = 0.05(p + -4) + -0.14 Reorder the terms: -0.18 + 0.09p = 0.05(-4 + p) + -0.14 -0.18 + 0.09p = (-4 * 0.05 + p * 0.05) + -0.14 -0.18 + 0.09p = (-0.2 + 0.05p) + -0.14 Reorder the terms: -0.18 + 0.09p = -0.2 + -0.14 + 0.05p Combine like terms: -0.2 + -0.14 = -0.34 -0.18 + 0.09p = -0.34 + 0.05p Solving -0.18 + 0.09p = -0.34 + 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. -0.18 + 0.09p + -0.05p = -0.34 + 0.05p + -0.05p Combine like terms: 0.09p + -0.05p = 0.04p -0.18 + 0.04p = -0.34 + 0.05p + -0.05p Combine like terms: 0.05p + -0.05p = 0.00 -0.18 + 0.04p = -0.34 + 0.00 -0.18 + 0.04p = -0.34 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.04p = -0.34 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.04p = -0.34 + 0.18 0.04p = -0.34 + 0.18 Combine like terms: -0.34 + 0.18 = -0.16 0.04p = -0.16 Divide each side by '0.04'. p = -4 Simplifying p = -4
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