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