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Simplifying 6d + -5d + -1d + 4d + 2 = 14 Reorder the terms: 2 + 6d + -5d + -1d + 4d = 14 Combine like terms: 6d + -5d = 1d 2 + 1d + -1d + 4d = 14 Combine like terms: 1d + -1d = 0 2 + 0 + 4d = 14 2 + 4d = 14 Solving 2 + 4d = 14 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4d = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 4d = 14 + -2 4d = 14 + -2 Combine like terms: 14 + -2 = 12 4d = 12 Divide each side by '4'. d = 3 Simplifying d = 3
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