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Simplifying 8d + -1(-0.33)(6 + -9d) = 42 Multiply -1 * -0.33 8d + 0.33(6 + -9d) = 42 8d + (6 * 0.33 + -9d * 0.33) = 42 8d + (1.98 + -2.97d) = 42 Reorder the terms: 1.98 + 8d + -2.97d = 42 Combine like terms: 8d + -2.97d = 5.03d 1.98 + 5.03d = 42 Solving 1.98 + 5.03d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.98' to each side of the equation. 1.98 + -1.98 + 5.03d = 42 + -1.98 Combine like terms: 1.98 + -1.98 = 0.00 0.00 + 5.03d = 42 + -1.98 5.03d = 42 + -1.98 Combine like terms: 42 + -1.98 = 40.02 5.03d = 40.02 Divide each side by '5.03'. d = 7.956262425 Simplifying d = 7.956262425
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