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Simplifying 2(3d + 5) = 22 Reorder the terms: 2(5 + 3d) = 22 (5 * 2 + 3d * 2) = 22 (10 + 6d) = 22 Solving 10 + 6d = 22 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 + 6d = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 6d = 22 + -10 6d = 22 + -10 Combine like terms: 22 + -10 = 12 6d = 12 Divide each side by '6'. d = 2 Simplifying d = 2
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