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Simplifying 3d + 4d + 5 = 6d + 7d + 8 Reorder the terms: 5 + 3d + 4d = 6d + 7d + 8 Combine like terms: 3d + 4d = 7d 5 + 7d = 6d + 7d + 8 Reorder the terms: 5 + 7d = 8 + 6d + 7d Combine like terms: 6d + 7d = 13d 5 + 7d = 8 + 13d Solving 5 + 7d = 8 + 13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13d' to each side of the equation. 5 + 7d + -13d = 8 + 13d + -13d Combine like terms: 7d + -13d = -6d 5 + -6d = 8 + 13d + -13d Combine like terms: 13d + -13d = 0 5 + -6d = 8 + 0 5 + -6d = 8 Add '-5' to each side of the equation. 5 + -5 + -6d = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -6d = 8 + -5 -6d = 8 + -5 Combine like terms: 8 + -5 = 3 -6d = 3 Divide each side by '-6'. d = -0.5 Simplifying d = -0.5
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