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Simplifying 6(3d + 5) = 84 Reorder the terms: 6(5 + 3d) = 84 (5 * 6 + 3d * 6) = 84 (30 + 18d) = 84 Solving 30 + 18d = 84 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 18d = 84 + -30 Combine like terms: 30 + -30 = 0 0 + 18d = 84 + -30 18d = 84 + -30 Combine like terms: 84 + -30 = 54 18d = 54 Divide each side by '18'. d = 3 Simplifying d = 3
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