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Simplifying 3d + -21 = 24 + -2d Reorder the terms: -21 + 3d = 24 + -2d Solving -21 + 3d = 24 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -21 + 3d + 2d = 24 + -2d + 2d Combine like terms: 3d + 2d = 5d -21 + 5d = 24 + -2d + 2d Combine like terms: -2d + 2d = 0 -21 + 5d = 24 + 0 -21 + 5d = 24 Add '21' to each side of the equation. -21 + 21 + 5d = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 5d = 24 + 21 5d = 24 + 21 Combine like terms: 24 + 21 = 45 5d = 45 Divide each side by '5'. d = 9 Simplifying d = 9
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