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Simplifying 2d + 9 = 5d + -6 Reorder the terms: 9 + 2d = 5d + -6 Reorder the terms: 9 + 2d = -6 + 5d Solving 9 + 2d = -6 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 9 + 2d + -5d = -6 + 5d + -5d Combine like terms: 2d + -5d = -3d 9 + -3d = -6 + 5d + -5d Combine like terms: 5d + -5d = 0 9 + -3d = -6 + 0 9 + -3d = -6 Add '-9' to each side of the equation. 9 + -9 + -3d = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3d = -6 + -9 -3d = -6 + -9 Combine like terms: -6 + -9 = -15 -3d = -15 Divide each side by '-3'. d = 5 Simplifying d = 5
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