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Simplifying 5 + d = 8d + -7 Reorder the terms: 5 + d = -7 + 8d Solving 5 + d = -7 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 5 + d + -8d = -7 + 8d + -8d Combine like terms: d + -8d = -7d 5 + -7d = -7 + 8d + -8d Combine like terms: 8d + -8d = 0 5 + -7d = -7 + 0 5 + -7d = -7 Add '-5' to each side of the equation. 5 + -5 + -7d = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -7d = -7 + -5 -7d = -7 + -5 Combine like terms: -7 + -5 = -12 -7d = -12 Divide each side by '-7'. d = 1.714285714 Simplifying d = 1.714285714
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