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Simplifying -5d + 1 = 6d + d Reorder the terms: 1 + -5d = 6d + d Combine like terms: 6d + d = 7d 1 + -5d = 7d Solving 1 + -5d = 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 1 + -5d + -7d = 7d + -7d Combine like terms: -5d + -7d = -12d 1 + -12d = 7d + -7d Combine like terms: 7d + -7d = 0 1 + -12d = 0 Add '-1' to each side of the equation. 1 + -1 + -12d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12d = 0 + -1 -12d = 0 + -1 Combine like terms: 0 + -1 = -1 -12d = -1 Divide each side by '-12'. d = 0.08333333333 Simplifying d = 0.08333333333
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