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Simplifying 2(3d + 7) = 5 + 6b Reorder the terms: 2(7 + 3d) = 5 + 6b (7 * 2 + 3d * 2) = 5 + 6b (14 + 6d) = 5 + 6b Solving 14 + 6d = 5 + 6b Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6d = 5 + -14 + 6b Combine like terms: 14 + -14 = 0 0 + 6d = 5 + -14 + 6b 6d = 5 + -14 + 6b Combine like terms: 5 + -14 = -9 6d = -9 + 6b Divide each side by '6'. d = -1.5 + b Simplifying d = -1.5 + b
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