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Simplifying 9(d + 2) + d = 28 + 6(d + -1) Reorder the terms: 9(2 + d) + d = 28 + 6(d + -1) (2 * 9 + d * 9) + d = 28 + 6(d + -1) (18 + 9d) + d = 28 + 6(d + -1) Combine like terms: 9d + d = 10d 18 + 10d = 28 + 6(d + -1) Reorder the terms: 18 + 10d = 28 + 6(-1 + d) 18 + 10d = 28 + (-1 * 6 + d * 6) 18 + 10d = 28 + (-6 + 6d) Combine like terms: 28 + -6 = 22 18 + 10d = 22 + 6d Solving 18 + 10d = 22 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 18 + 10d + -6d = 22 + 6d + -6d Combine like terms: 10d + -6d = 4d 18 + 4d = 22 + 6d + -6d Combine like terms: 6d + -6d = 0 18 + 4d = 22 + 0 18 + 4d = 22 Add '-18' to each side of the equation. 18 + -18 + 4d = 22 + -18 Combine like terms: 18 + -18 = 0 0 + 4d = 22 + -18 4d = 22 + -18 Combine like terms: 22 + -18 = 4 4d = 4 Divide each side by '4'. d = 1 Simplifying d = 1
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