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Simplifying 10d + 5 = 6d + 33 Reorder the terms: 5 + 10d = 6d + 33 Reorder the terms: 5 + 10d = 33 + 6d Solving 5 + 10d = 33 + 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 = 33 + 6d + -6d Combine like terms: 10d + -6d = 4d 5 + 4d = 33 + 6d + -6d Combine like terms: 6d + -6d = 0 5 + 4d = 33 + 0 5 + 4d = 33 Add '-5' to each side of the equation. 5 + -5 + 4d = 33 + -5 Combine like terms: 5 + -5 = 0 0 + 4d = 33 + -5 4d = 33 + -5 Combine like terms: 33 + -5 = 28 4d = 28 Divide each side by '4'. d = 7 Simplifying d = 7
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