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Simplifying 0 = (3d + -2) + -1(2d + -1) Reorder the terms: 0 = (-2 + 3d) + -1(2d + -1) Remove parenthesis around (-2 + 3d) 0 = -2 + 3d + -1(2d + -1) Reorder the terms: 0 = -2 + 3d + -1(-1 + 2d) 0 = -2 + 3d + (-1 * -1 + 2d * -1) 0 = -2 + 3d + (1 + -2d) Reorder the terms: 0 = -2 + 1 + 3d + -2d Combine like terms: -2 + 1 = -1 0 = -1 + 3d + -2d Combine like terms: 3d + -2d = 1d 0 = -1 + 1d Solving 0 = -1 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 0 + -1d = -1 + 1d + -1d Remove the zero: -1d = -1 + 1d + -1d Combine like terms: 1d + -1d = 0 -1d = -1 + 0 -1d = -1 Divide each side by '-1'. d = 1 Simplifying d = 1
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