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Simplifying 10d + 9 = 6d + 37 Reorder the terms: 9 + 10d = 6d + 37 Reorder the terms: 9 + 10d = 37 + 6d Solving 9 + 10d = 37 + 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. 9 + 10d + -6d = 37 + 6d + -6d Combine like terms: 10d + -6d = 4d 9 + 4d = 37 + 6d + -6d Combine like terms: 6d + -6d = 0 9 + 4d = 37 + 0 9 + 4d = 37 Add '-9' to each side of the equation. 9 + -9 + 4d = 37 + -9 Combine like terms: 9 + -9 = 0 0 + 4d = 37 + -9 4d = 37 + -9 Combine like terms: 37 + -9 = 28 4d = 28 Divide each side by '4'. d = 7 Simplifying d = 7
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