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Simplifying -0.09p + -0.04(6 + -4p) = 0.03(p + -4) + -0.12 -0.09p + (6 * -0.04 + -4p * -0.04) = 0.03(p + -4) + -0.12 -0.09p + (-0.24 + 0.16p) = 0.03(p + -4) + -0.12 Reorder the terms: -0.24 + -0.09p + 0.16p = 0.03(p + -4) + -0.12 Combine like terms: -0.09p + 0.16p = 0.07p -0.24 + 0.07p = 0.03(p + -4) + -0.12 Reorder the terms: -0.24 + 0.07p = 0.03(-4 + p) + -0.12 -0.24 + 0.07p = (-4 * 0.03 + p * 0.03) + -0.12 -0.24 + 0.07p = (-0.12 + 0.03p) + -0.12 Reorder the terms: -0.24 + 0.07p = -0.12 + -0.12 + 0.03p Combine like terms: -0.12 + -0.12 = -0.24 -0.24 + 0.07p = -0.24 + 0.03p Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.07p = -0.24 + 0.24 + 0.03p Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.07p = -0.24 + 0.24 + 0.03p 0.07p = -0.24 + 0.24 + 0.03p Combine like terms: -0.24 + 0.24 = 0.00 0.07p = 0.00 + 0.03p 0.07p = 0.03p Solving 0.07p = 0.03p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.03p' to each side of the equation. 0.07p + -0.03p = 0.03p + -0.03p Combine like terms: 0.07p + -0.03p = 0.04p 0.04p = 0.03p + -0.03p Combine like terms: 0.03p + -0.03p = 0.00 0.04p = 0.00 Divide each side by '0.04'. p = 0 Simplifying p = 0
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