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Simplifying -3d + 0.333(6 + 3d) = -10 -3d + (6 * 0.333 + 3d * 0.333) = -10 -3d + (1.998 + 0.999d) = -10 Reorder the terms: 1.998 + -3d + 0.999d = -10 Combine like terms: -3d + 0.999d = -2.001d 1.998 + -2.001d = -10 Solving 1.998 + -2.001d = -10 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 + -2.001d = -10 + -1.998 Combine like terms: 1.998 + -1.998 = 0.000 0.000 + -2.001d = -10 + -1.998 -2.001d = -10 + -1.998 Combine like terms: -10 + -1.998 = -11.998 -2.001d = -11.998 Divide each side by '-2.001'. d = 5.996001999 Simplifying d = 5.996001999
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