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Simplifying 10d + 6 = 2d + 46 Reorder the terms: 6 + 10d = 2d + 46 Reorder the terms: 6 + 10d = 46 + 2d Solving 6 + 10d = 46 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 6 + 10d + -2d = 46 + 2d + -2d Combine like terms: 10d + -2d = 8d 6 + 8d = 46 + 2d + -2d Combine like terms: 2d + -2d = 0 6 + 8d = 46 + 0 6 + 8d = 46 Add '-6' to each side of the equation. 6 + -6 + 8d = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 8d = 46 + -6 8d = 46 + -6 Combine like terms: 46 + -6 = 40 8d = 40 Divide each side by '8'. d = 5 Simplifying d = 5
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