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Simplifying 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 = 10.97d -1.98 + 10.97d = 42 Solving -1.98 + 10.97d = 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 + 10.97d = 42 + 1.98 Combine like terms: -1.98 + 1.98 = 0.00 0.00 + 10.97d = 42 + 1.98 10.97d = 42 + 1.98 Combine like terms: 42 + 1.98 = 43.98 10.97d = 43.98 Divide each side by '10.97'. d = 4.00911577 Simplifying d = 4.00911577
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