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Simplifying 10d + 8 = 5d + 33 Reorder the terms: 8 + 10d = 5d + 33 Reorder the terms: 8 + 10d = 33 + 5d Solving 8 + 10d = 33 + 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. 8 + 10d + -5d = 33 + 5d + -5d Combine like terms: 10d + -5d = 5d 8 + 5d = 33 + 5d + -5d Combine like terms: 5d + -5d = 0 8 + 5d = 33 + 0 8 + 5d = 33 Add '-8' to each side of the equation. 8 + -8 + 5d = 33 + -8 Combine like terms: 8 + -8 = 0 0 + 5d = 33 + -8 5d = 33 + -8 Combine like terms: 33 + -8 = 25 5d = 25 Divide each side by '5'. d = 5 Simplifying d = 5
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