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Simplifying 9d + 4 = 10d + 1 Reorder the terms: 4 + 9d = 10d + 1 Reorder the terms: 4 + 9d = 1 + 10d Solving 4 + 9d = 1 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 4 + 9d + -10d = 1 + 10d + -10d Combine like terms: 9d + -10d = -1d 4 + -1d = 1 + 10d + -10d Combine like terms: 10d + -10d = 0 4 + -1d = 1 + 0 4 + -1d = 1 Add '-4' to each side of the equation. 4 + -4 + -1d = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 1 + -4 -1d = 1 + -4 Combine like terms: 1 + -4 = -3 -1d = -3 Divide each side by '-1'. d = 3 Simplifying d = 3
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