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Simplifying 4d + 1 = 12 + -2d Reorder the terms: 1 + 4d = 12 + -2d Solving 1 + 4d = 12 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 1 + 4d + 2d = 12 + -2d + 2d Combine like terms: 4d + 2d = 6d 1 + 6d = 12 + -2d + 2d Combine like terms: -2d + 2d = 0 1 + 6d = 12 + 0 1 + 6d = 12 Add '-1' to each side of the equation. 1 + -1 + 6d = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 6d = 12 + -1 6d = 12 + -1 Combine like terms: 12 + -1 = 11 6d = 11 Divide each side by '6'. d = 1.833333333 Simplifying d = 1.833333333
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