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Simplifying 8d + 6 = 3(4 + -1d) Reorder the terms: 6 + 8d = 3(4 + -1d) 6 + 8d = (4 * 3 + -1d * 3) 6 + 8d = (12 + -3d) Solving 6 + 8d = 12 + -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. 6 + 8d + 3d = 12 + -3d + 3d Combine like terms: 8d + 3d = 11d 6 + 11d = 12 + -3d + 3d Combine like terms: -3d + 3d = 0 6 + 11d = 12 + 0 6 + 11d = 12 Add '-6' to each side of the equation. 6 + -6 + 11d = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 11d = 12 + -6 11d = 12 + -6 Combine like terms: 12 + -6 = 6 11d = 6 Divide each side by '11'. d = 0.5454545455 Simplifying d = 0.5454545455
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