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Simplifying 10d + 6 = 5d + 41 Reorder the terms: 6 + 10d = 5d + 41 Reorder the terms: 6 + 10d = 41 + 5d Solving 6 + 10d = 41 + 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. 6 + 10d + -5d = 41 + 5d + -5d Combine like terms: 10d + -5d = 5d 6 + 5d = 41 + 5d + -5d Combine like terms: 5d + -5d = 0 6 + 5d = 41 + 0 6 + 5d = 41 Add '-6' to each side of the equation. 6 + -6 + 5d = 41 + -6 Combine like terms: 6 + -6 = 0 0 + 5d = 41 + -6 5d = 41 + -6 Combine like terms: 41 + -6 = 35 5d = 35 Divide each side by '5'. d = 7 Simplifying d = 7
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