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Simplifying 10d + 7 = 4d + 55 Reorder the terms: 7 + 10d = 4d + 55 Reorder the terms: 7 + 10d = 55 + 4d Solving 7 + 10d = 55 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 7 + 10d + -4d = 55 + 4d + -4d Combine like terms: 10d + -4d = 6d 7 + 6d = 55 + 4d + -4d Combine like terms: 4d + -4d = 0 7 + 6d = 55 + 0 7 + 6d = 55 Add '-7' to each side of the equation. 7 + -7 + 6d = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 6d = 55 + -7 6d = 55 + -7 Combine like terms: 55 + -7 = 48 6d = 48 Divide each side by '6'. d = 8 Simplifying d = 8
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