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Simplifying 8d + 7 = 3d + 42 Reorder the terms: 7 + 8d = 3d + 42 Reorder the terms: 7 + 8d = 42 + 3d Solving 7 + 8d = 42 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 7 + 8d + -3d = 42 + 3d + -3d Combine like terms: 8d + -3d = 5d 7 + 5d = 42 + 3d + -3d Combine like terms: 3d + -3d = 0 7 + 5d = 42 + 0 7 + 5d = 42 Add '-7' to each side of the equation. 7 + -7 + 5d = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 5d = 42 + -7 5d = 42 + -7 Combine like terms: 42 + -7 = 35 5d = 35 Divide each side by '5'. d = 7 Simplifying d = 7
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