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Simplifying 0.6[d + 3] = 3d Reorder the terms: 0.6[3 + d] = 3d [3 * 0.6 + d * 0.6] = 3d [1.8 + 0.6d] = 3d Solving 1.8 + 0.6d = 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 1.8 + 0.6d + -3d = 3d + -3d Combine like terms: 0.6d + -3d = -2.4d 1.8 + -2.4d = 3d + -3d Combine like terms: 3d + -3d = 0 1.8 + -2.4d = 0 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -2.4d = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -2.4d = 0 + -1.8 -2.4d = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -2.4d = -1.8 Divide each side by '-2.4'. d = 0.75 Simplifying d = 0.75
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