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Simplifying 3(4 + -1d) = 2(3 + -1d) (4 * 3 + -1d * 3) = 2(3 + -1d) (12 + -3d) = 2(3 + -1d) 12 + -3d = (3 * 2 + -1d * 2) 12 + -3d = (6 + -2d) Solving 12 + -3d = 6 + -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. 12 + -3d + 2d = 6 + -2d + 2d Combine like terms: -3d + 2d = -1d 12 + -1d = 6 + -2d + 2d Combine like terms: -2d + 2d = 0 12 + -1d = 6 + 0 12 + -1d = 6 Add '-12' to each side of the equation. 12 + -12 + -1d = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -1d = 6 + -12 -1d = 6 + -12 Combine like terms: 6 + -12 = -6 -1d = -6 Divide each side by '-1'. d = 6 Simplifying d = 6
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