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Simplifying 7d + -6d + 5 = 1 + 4d Reorder the terms: 5 + 7d + -6d = 1 + 4d Combine like terms: 7d + -6d = 1d 5 + 1d = 1 + 4d Solving 5 + 1d = 1 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 5 + 1d + -4d = 1 + 4d + -4d Combine like terms: 1d + -4d = -3d 5 + -3d = 1 + 4d + -4d Combine like terms: 4d + -4d = 0 5 + -3d = 1 + 0 5 + -3d = 1 Add '-5' to each side of the equation. 5 + -5 + -3d = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -3d = 1 + -5 -3d = 1 + -5 Combine like terms: 1 + -5 = -4 -3d = -4 Divide each side by '-3'. d = 1.333333333 Simplifying d = 1.333333333
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