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Simplifying 7d + d + 4d + 5 = 6d Reorder the terms: 5 + 7d + d + 4d = 6d Combine like terms: 7d + d = 8d 5 + 8d + 4d = 6d Combine like terms: 8d + 4d = 12d 5 + 12d = 6d Solving 5 + 12d = 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 5 + 12d + -6d = 6d + -6d Combine like terms: 12d + -6d = 6d 5 + 6d = 6d + -6d Combine like terms: 6d + -6d = 0 5 + 6d = 0 Add '-5' to each side of the equation. 5 + -5 + 6d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6d = 0 + -5 6d = 0 + -5 Combine like terms: 0 + -5 = -5 6d = -5 Divide each side by '6'. d = -0.8333333333 Simplifying d = -0.8333333333
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