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Simplifying 4d + 9 = 5d + 2 Reorder the terms: 9 + 4d = 5d + 2 Reorder the terms: 9 + 4d = 2 + 5d Solving 9 + 4d = 2 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 9 + 4d + -5d = 2 + 5d + -5d Combine like terms: 4d + -5d = -1d 9 + -1d = 2 + 5d + -5d Combine like terms: 5d + -5d = 0 9 + -1d = 2 + 0 9 + -1d = 2 Add '-9' to each side of the equation. 9 + -9 + -1d = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -1d = 2 + -9 -1d = 2 + -9 Combine like terms: 2 + -9 = -7 -1d = -7 Divide each side by '-1'. d = 7 Simplifying d = 7
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