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Simplifying 9(2d + 5) = 3d Reorder the terms: 9(5 + 2d) = 3d (5 * 9 + 2d * 9) = 3d (45 + 18d) = 3d Solving 45 + 18d = 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 45 + 18d + -3d = 3d + -3d Combine like terms: 18d + -3d = 15d 45 + 15d = 3d + -3d Combine like terms: 3d + -3d = 0 45 + 15d = 0 Add '-45' to each side of the equation. 45 + -45 + 15d = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 15d = 0 + -45 15d = 0 + -45 Combine like terms: 0 + -45 = -45 15d = -45 Divide each side by '15'. d = -3 Simplifying d = -3
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