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Simplifying 9d + 3d + -1d + -7 = 5d Reorder the terms: -7 + 9d + 3d + -1d = 5d Combine like terms: 9d + 3d = 12d -7 + 12d + -1d = 5d Combine like terms: 12d + -1d = 11d -7 + 11d = 5d Solving -7 + 11d = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -7 + 11d + -5d = 5d + -5d Combine like terms: 11d + -5d = 6d -7 + 6d = 5d + -5d Combine like terms: 5d + -5d = 0 -7 + 6d = 0 Add '7' to each side of the equation. -7 + 7 + 6d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6d = 0 + 7 6d = 0 + 7 Combine like terms: 0 + 7 = 7 6d = 7 Divide each side by '6'. d = 1.166666667 Simplifying d = 1.166666667
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