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Simplifying -2d + 18 = 11(3 + -1d) Reorder the terms: 18 + -2d = 11(3 + -1d) 18 + -2d = (3 * 11 + -1d * 11) 18 + -2d = (33 + -11d) Solving 18 + -2d = 33 + -11d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '11d' to each side of the equation. 18 + -2d + 11d = 33 + -11d + 11d Combine like terms: -2d + 11d = 9d 18 + 9d = 33 + -11d + 11d Combine like terms: -11d + 11d = 0 18 + 9d = 33 + 0 18 + 9d = 33 Add '-18' to each side of the equation. 18 + -18 + 9d = 33 + -18 Combine like terms: 18 + -18 = 0 0 + 9d = 33 + -18 9d = 33 + -18 Combine like terms: 33 + -18 = 15 9d = 15 Divide each side by '9'. d = 1.666666667 Simplifying d = 1.666666667
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