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Simplifying -0.11p + -0.03(3 + -6p) = 0.04(p + -4) + -0.02 -0.11p + (3 * -0.03 + -6p * -0.03) = 0.04(p + -4) + -0.02 -0.11p + (-0.09 + 0.18p) = 0.04(p + -4) + -0.02 Reorder the terms: -0.09 + -0.11p + 0.18p = 0.04(p + -4) + -0.02 Combine like terms: -0.11p + 0.18p = 0.07p -0.09 + 0.07p = 0.04(p + -4) + -0.02 Reorder the terms: -0.09 + 0.07p = 0.04(-4 + p) + -0.02 -0.09 + 0.07p = (-4 * 0.04 + p * 0.04) + -0.02 -0.09 + 0.07p = (-0.16 + 0.04p) + -0.02 Reorder the terms: -0.09 + 0.07p = -0.16 + -0.02 + 0.04p Combine like terms: -0.16 + -0.02 = -0.18 -0.09 + 0.07p = -0.18 + 0.04p Solving -0.09 + 0.07p = -0.18 + 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. -0.09 + 0.07p + -0.04p = -0.18 + 0.04p + -0.04p Combine like terms: 0.07p + -0.04p = 0.03p -0.09 + 0.03p = -0.18 + 0.04p + -0.04p Combine like terms: 0.04p + -0.04p = 0.00 -0.09 + 0.03p = -0.18 + 0.00 -0.09 + 0.03p = -0.18 Add '0.09' to each side of the equation. -0.09 + 0.09 + 0.03p = -0.18 + 0.09 Combine like terms: -0.09 + 0.09 = 0.00 0.00 + 0.03p = -0.18 + 0.09 0.03p = -0.18 + 0.09 Combine like terms: -0.18 + 0.09 = -0.09 0.03p = -0.09 Divide each side by '0.03'. p = -3 Simplifying p = -3
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