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Simplifying -0.02p + -0.03(6 + -3p) = 0.04(p + -2) + -0.22 -0.02p + (6 * -0.03 + -3p * -0.03) = 0.04(p + -2) + -0.22 -0.02p + (-0.18 + 0.09p) = 0.04(p + -2) + -0.22 Reorder the terms: -0.18 + -0.02p + 0.09p = 0.04(p + -2) + -0.22 Combine like terms: -0.02p + 0.09p = 0.07p -0.18 + 0.07p = 0.04(p + -2) + -0.22 Reorder the terms: -0.18 + 0.07p = 0.04(-2 + p) + -0.22 -0.18 + 0.07p = (-2 * 0.04 + p * 0.04) + -0.22 -0.18 + 0.07p = (-0.08 + 0.04p) + -0.22 Reorder the terms: -0.18 + 0.07p = -0.08 + -0.22 + 0.04p Combine like terms: -0.08 + -0.22 = -0.3 -0.18 + 0.07p = -0.3 + 0.04p Solving -0.18 + 0.07p = -0.3 + 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. -0.18 + 0.07p + -0.04p = -0.3 + 0.04p + -0.04p Combine like terms: 0.07p + -0.04p = 0.03p -0.18 + 0.03p = -0.3 + 0.04p + -0.04p Combine like terms: 0.04p + -0.04p = 0.00 -0.18 + 0.03p = -0.3 + 0.00 -0.18 + 0.03p = -0.3 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.03p = -0.3 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.03p = -0.3 + 0.18 0.03p = -0.3 + 0.18 Combine like terms: -0.3 + 0.18 = -0.12 0.03p = -0.12 Divide each side by '0.03'. p = -4 Simplifying p = -4
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