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Simplifying -0.06p + -0.03(3 + -5p) = 0.06(p + -6) + -0.12 -0.06p + (3 * -0.03 + -5p * -0.03) = 0.06(p + -6) + -0.12 -0.06p + (-0.09 + 0.15p) = 0.06(p + -6) + -0.12 Reorder the terms: -0.09 + -0.06p + 0.15p = 0.06(p + -6) + -0.12 Combine like terms: -0.06p + 0.15p = 0.09p -0.09 + 0.09p = 0.06(p + -6) + -0.12 Reorder the terms: -0.09 + 0.09p = 0.06(-6 + p) + -0.12 -0.09 + 0.09p = (-6 * 0.06 + p * 0.06) + -0.12 -0.09 + 0.09p = (-0.36 + 0.06p) + -0.12 Reorder the terms: -0.09 + 0.09p = -0.36 + -0.12 + 0.06p Combine like terms: -0.36 + -0.12 = -0.48 -0.09 + 0.09p = -0.48 + 0.06p Solving -0.09 + 0.09p = -0.48 + 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. -0.09 + 0.09p + -0.06p = -0.48 + 0.06p + -0.06p Combine like terms: 0.09p + -0.06p = 0.03p -0.09 + 0.03p = -0.48 + 0.06p + -0.06p Combine like terms: 0.06p + -0.06p = 0.00 -0.09 + 0.03p = -0.48 + 0.00 -0.09 + 0.03p = -0.48 Add '0.09' to each side of the equation. -0.09 + 0.09 + 0.03p = -0.48 + 0.09 Combine like terms: -0.09 + 0.09 = 0.00 0.00 + 0.03p = -0.48 + 0.09 0.03p = -0.48 + 0.09 Combine like terms: -0.48 + 0.09 = -0.39 0.03p = -0.39 Divide each side by '0.03'. p = -13 Simplifying p = -13
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