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Simplifying d + 6(d + 4) + 5d = 14 Reorder the terms: d + 6(4 + d) + 5d = 14 d + (4 * 6 + d * 6) + 5d = 14 d + (24 + 6d) + 5d = 14 Reorder the terms: 24 + d + 6d + 5d = 14 Combine like terms: d + 6d = 7d 24 + 7d + 5d = 14 Combine like terms: 7d + 5d = 12d 24 + 12d = 14 Solving 24 + 12d = 14 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12d = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 12d = 14 + -24 12d = 14 + -24 Combine like terms: 14 + -24 = -10 12d = -10 Divide each side by '12'. d = -0.8333333333 Simplifying d = -0.8333333333
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