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Simplifying 2(d + 8) = 3(d + 6) Reorder the terms: 2(8 + d) = 3(d + 6) (8 * 2 + d * 2) = 3(d + 6) (16 + 2d) = 3(d + 6) Reorder the terms: 16 + 2d = 3(6 + d) 16 + 2d = (6 * 3 + d * 3) 16 + 2d = (18 + 3d) Solving 16 + 2d = 18 + 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. 16 + 2d + -3d = 18 + 3d + -3d Combine like terms: 2d + -3d = -1d 16 + -1d = 18 + 3d + -3d Combine like terms: 3d + -3d = 0 16 + -1d = 18 + 0 16 + -1d = 18 Add '-16' to each side of the equation. 16 + -16 + -1d = 18 + -16 Combine like terms: 16 + -16 = 0 0 + -1d = 18 + -16 -1d = 18 + -16 Combine like terms: 18 + -16 = 2 -1d = 2 Divide each side by '-1'. d = -2 Simplifying d = -2
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