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Simplifying 10d + 6 = 7d + 27 Reorder the terms: 6 + 10d = 7d + 27 Reorder the terms: 6 + 10d = 27 + 7d Solving 6 + 10d = 27 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 6 + 10d + -7d = 27 + 7d + -7d Combine like terms: 10d + -7d = 3d 6 + 3d = 27 + 7d + -7d Combine like terms: 7d + -7d = 0 6 + 3d = 27 + 0 6 + 3d = 27 Add '-6' to each side of the equation. 6 + -6 + 3d = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 3d = 27 + -6 3d = 27 + -6 Combine like terms: 27 + -6 = 21 3d = 21 Divide each side by '3'. d = 7 Simplifying d = 7
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