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Simplifying -0.02p + -0.03(4 + -3p) = 0.04(p + -3) + -0.12 -0.02p + (4 * -0.03 + -3p * -0.03) = 0.04(p + -3) + -0.12 -0.02p + (-0.12 + 0.09p) = 0.04(p + -3) + -0.12 Reorder the terms: -0.12 + -0.02p + 0.09p = 0.04(p + -3) + -0.12 Combine like terms: -0.02p + 0.09p = 0.07p -0.12 + 0.07p = 0.04(p + -3) + -0.12 Reorder the terms: -0.12 + 0.07p = 0.04(-3 + p) + -0.12 -0.12 + 0.07p = (-3 * 0.04 + p * 0.04) + -0.12 -0.12 + 0.07p = (-0.12 + 0.04p) + -0.12 Reorder the terms: -0.12 + 0.07p = -0.12 + -0.12 + 0.04p Combine like terms: -0.12 + -0.12 = -0.24 -0.12 + 0.07p = -0.24 + 0.04p Solving -0.12 + 0.07p = -0.24 + 0.04p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.04p' to each side of the equation. -0.12 + 0.07p + -0.04p = -0.24 + 0.04p + -0.04p Combine like terms: 0.07p + -0.04p = 0.03p -0.12 + 0.03p = -0.24 + 0.04p + -0.04p Combine like terms: 0.04p + -0.04p = 0.00 -0.12 + 0.03p = -0.24 + 0.00 -0.12 + 0.03p = -0.24 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.03p = -0.24 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.03p = -0.24 + 0.12 0.03p = -0.24 + 0.12 Combine like terms: -0.24 + 0.12 = -0.12 0.03p = -0.12 Divide each side by '0.03'. p = -4 Simplifying p = -4
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