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Simplifying 2d + -1 + -3d = 4d + -21 Reorder the terms: -1 + 2d + -3d = 4d + -21 Combine like terms: 2d + -3d = -1d -1 + -1d = 4d + -21 Reorder the terms: -1 + -1d = -21 + 4d Solving -1 + -1d = -21 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -1 + -1d + -4d = -21 + 4d + -4d Combine like terms: -1d + -4d = -5d -1 + -5d = -21 + 4d + -4d Combine like terms: 4d + -4d = 0 -1 + -5d = -21 + 0 -1 + -5d = -21 Add '1' to each side of the equation. -1 + 1 + -5d = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -5d = -21 + 1 -5d = -21 + 1 Combine like terms: -21 + 1 = -20 -5d = -20 Divide each side by '-5'. d = 4 Simplifying d = 4
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