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Simplifying 5d + 76 = d + -52 Reorder the terms: 76 + 5d = d + -52 Reorder the terms: 76 + 5d = -52 + d Solving 76 + 5d = -52 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 76 + 5d + -1d = -52 + d + -1d Combine like terms: 5d + -1d = 4d 76 + 4d = -52 + d + -1d Combine like terms: d + -1d = 0 76 + 4d = -52 + 0 76 + 4d = -52 Add '-76' to each side of the equation. 76 + -76 + 4d = -52 + -76 Combine like terms: 76 + -76 = 0 0 + 4d = -52 + -76 4d = -52 + -76 Combine like terms: -52 + -76 = -128 4d = -128 Divide each side by '4'. d = -32 Simplifying d = -32
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