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Simplifying -7d + 4 = d + 100 Reorder the terms: 4 + -7d = d + 100 Reorder the terms: 4 + -7d = 100 + d Solving 4 + -7d = 100 + 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. 4 + -7d + -1d = 100 + d + -1d Combine like terms: -7d + -1d = -8d 4 + -8d = 100 + d + -1d Combine like terms: d + -1d = 0 4 + -8d = 100 + 0 4 + -8d = 100 Add '-4' to each side of the equation. 4 + -4 + -8d = 100 + -4 Combine like terms: 4 + -4 = 0 0 + -8d = 100 + -4 -8d = 100 + -4 Combine like terms: 100 + -4 = 96 -8d = 96 Divide each side by '-8'. d = -12 Simplifying d = -12
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