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Simplifying 10d + 5 = 6d + 9 Reorder the terms: 5 + 10d = 6d + 9 Reorder the terms: 5 + 10d = 9 + 6d Solving 5 + 10d = 9 + 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. 5 + 10d + -6d = 9 + 6d + -6d Combine like terms: 10d + -6d = 4d 5 + 4d = 9 + 6d + -6d Combine like terms: 6d + -6d = 0 5 + 4d = 9 + 0 5 + 4d = 9 Add '-5' to each side of the equation. 5 + -5 + 4d = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 4d = 9 + -5 4d = 9 + -5 Combine like terms: 9 + -5 = 4 4d = 4 Divide each side by '4'. d = 1 Simplifying d = 1
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