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Simplifying 6(d + 3) = 3(d + -2) Reorder the terms: 6(3 + d) = 3(d + -2) (3 * 6 + d * 6) = 3(d + -2) (18 + 6d) = 3(d + -2) Reorder the terms: 18 + 6d = 3(-2 + d) 18 + 6d = (-2 * 3 + d * 3) 18 + 6d = (-6 + 3d) Solving 18 + 6d = -6 + 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. 18 + 6d + -3d = -6 + 3d + -3d Combine like terms: 6d + -3d = 3d 18 + 3d = -6 + 3d + -3d Combine like terms: 3d + -3d = 0 18 + 3d = -6 + 0 18 + 3d = -6 Add '-18' to each side of the equation. 18 + -18 + 3d = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 3d = -6 + -18 3d = -6 + -18 Combine like terms: -6 + -18 = -24 3d = -24 Divide each side by '3'. d = -8 Simplifying d = -8
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