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Simplifying 2d + 5 + 4d + -1 + d + 6 = 45 Reorder the terms: 5 + -1 + 6 + 2d + 4d + d = 45 Combine like terms: 5 + -1 = 4 4 + 6 + 2d + 4d + d = 45 Combine like terms: 4 + 6 = 10 10 + 2d + 4d + d = 45 Combine like terms: 2d + 4d = 6d 10 + 6d + d = 45 Combine like terms: 6d + d = 7d 10 + 7d = 45 Solving 10 + 7d = 45 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7d = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 7d = 45 + -10 7d = 45 + -10 Combine like terms: 45 + -10 = 35 7d = 35 Divide each side by '7'. d = 5 Simplifying d = 5
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