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Simplifying 9d + 7 = 6d + 22 Reorder the terms: 7 + 9d = 6d + 22 Reorder the terms: 7 + 9d = 22 + 6d Solving 7 + 9d = 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. 7 + 9d + -6d = 22 + 6d + -6d Combine like terms: 9d + -6d = 3d 7 + 3d = 22 + 6d + -6d Combine like terms: 6d + -6d = 0 7 + 3d = 22 + 0 7 + 3d = 22 Add '-7' to each side of the equation. 7 + -7 + 3d = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 3d = 22 + -7 3d = 22 + -7 Combine like terms: 22 + -7 = 15 3d = 15 Divide each side by '3'. d = 5 Simplifying d = 5
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