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Simplifying 5 + 11d + -3 = -1d + 7 Reorder the terms: 5 + -3 + 11d = -1d + 7 Combine like terms: 5 + -3 = 2 2 + 11d = -1d + 7 Reorder the terms: 2 + 11d = 7 + -1d Solving 2 + 11d = 7 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 2 + 11d + d = 7 + -1d + d Combine like terms: 11d + d = 12d 2 + 12d = 7 + -1d + d Combine like terms: -1d + d = 0 2 + 12d = 7 + 0 2 + 12d = 7 Add '-2' to each side of the equation. 2 + -2 + 12d = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 12d = 7 + -2 12d = 7 + -2 Combine like terms: 7 + -2 = 5 12d = 5 Divide each side by '12'. d = 0.4166666667 Simplifying d = 0.4166666667
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