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Simplifying 30 = 5d + 6 + -2d Reorder the terms: 30 = 6 + 5d + -2d Combine like terms: 5d + -2d = 3d 30 = 6 + 3d Solving 30 = 6 + 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. 30 + -3d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 30 + -3d = 6 + 0 30 + -3d = 6 Add '-30' to each side of the equation. 30 + -30 + -3d = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -3d = 6 + -30 -3d = 6 + -30 Combine like terms: 6 + -30 = -24 -3d = -24 Divide each side by '-3'. d = 8 Simplifying d = 8
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