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Simplifying 9d + 6 = 7 + 2(d + 9) Reorder the terms: 6 + 9d = 7 + 2(d + 9) Reorder the terms: 6 + 9d = 7 + 2(9 + d) 6 + 9d = 7 + (9 * 2 + d * 2) 6 + 9d = 7 + (18 + 2d) Combine like terms: 7 + 18 = 25 6 + 9d = 25 + 2d Solving 6 + 9d = 25 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 6 + 9d + -2d = 25 + 2d + -2d Combine like terms: 9d + -2d = 7d 6 + 7d = 25 + 2d + -2d Combine like terms: 2d + -2d = 0 6 + 7d = 25 + 0 6 + 7d = 25 Add '-6' to each side of the equation. 6 + -6 + 7d = 25 + -6 Combine like terms: 6 + -6 = 0 0 + 7d = 25 + -6 7d = 25 + -6 Combine like terms: 25 + -6 = 19 7d = 19 Divide each side by '7'. d = 2.714285714 Simplifying d = 2.714285714
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