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Simplifying 10d + 9 = 3d + 16 Reorder the terms: 9 + 10d = 3d + 16 Reorder the terms: 9 + 10d = 16 + 3d Solving 9 + 10d = 16 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 9 + 10d + -3d = 16 + 3d + -3d Combine like terms: 10d + -3d = 7d 9 + 7d = 16 + 3d + -3d Combine like terms: 3d + -3d = 0 9 + 7d = 16 + 0 9 + 7d = 16 Add '-9' to each side of the equation. 9 + -9 + 7d = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 7d = 16 + -9 7d = 16 + -9 Combine like terms: 16 + -9 = 7 7d = 7 Divide each side by '7'. d = 1 Simplifying d = 1
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