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Simplifying 21 + 3d = 9 + -3d Solving 21 + 3d = 9 + -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. 21 + 3d + 3d = 9 + -3d + 3d Combine like terms: 3d + 3d = 6d 21 + 6d = 9 + -3d + 3d Combine like terms: -3d + 3d = 0 21 + 6d = 9 + 0 21 + 6d = 9 Add '-21' to each side of the equation. 21 + -21 + 6d = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 6d = 9 + -21 6d = 9 + -21 Combine like terms: 9 + -21 = -12 6d = -12 Divide each side by '6'. d = -2 Simplifying d = -2
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