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Simplifying 8d + -0.333(6 + -9d) = 42 8d + (6 * -0.333 + -9d * -0.333) = 42 8d + (-1.998 + 2.997d) = 42 Reorder the terms: -1.998 + 8d + 2.997d = 42 Combine like terms: 8d + 2.997d = 10.997d -1.998 + 10.997d = 42 Solving -1.998 + 10.997d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '1.998' to each side of the equation. -1.998 + 1.998 + 10.997d = 42 + 1.998 Combine like terms: -1.998 + 1.998 = 0.000 0.000 + 10.997d = 42 + 1.998 10.997d = 42 + 1.998 Combine like terms: 42 + 1.998 = 43.998 10.997d = 43.998 Divide each side by '10.997'. d = 4.000909339 Simplifying d = 4.000909339
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