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Simplifying 3 + -2d = 8d + 33 Reorder the terms: 3 + -2d = 33 + 8d Solving 3 + -2d = 33 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 3 + -2d + -8d = 33 + 8d + -8d Combine like terms: -2d + -8d = -10d 3 + -10d = 33 + 8d + -8d Combine like terms: 8d + -8d = 0 3 + -10d = 33 + 0 3 + -10d = 33 Add '-3' to each side of the equation. 3 + -3 + -10d = 33 + -3 Combine like terms: 3 + -3 = 0 0 + -10d = 33 + -3 -10d = 33 + -3 Combine like terms: 33 + -3 = 30 -10d = 30 Divide each side by '-10'. d = -3 Simplifying d = -3
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