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Simplifying 3(d + 6) = d + -24 Reorder the terms: 3(6 + d) = d + -24 (6 * 3 + d * 3) = d + -24 (18 + 3d) = d + -24 Reorder the terms: 18 + 3d = -24 + d Solving 18 + 3d = -24 + d 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. 18 + 3d + -1d = -24 + d + -1d Combine like terms: 3d + -1d = 2d 18 + 2d = -24 + d + -1d Combine like terms: d + -1d = 0 18 + 2d = -24 + 0 18 + 2d = -24 Add '-18' to each side of the equation. 18 + -18 + 2d = -24 + -18 Combine like terms: 18 + -18 = 0 0 + 2d = -24 + -18 2d = -24 + -18 Combine like terms: -24 + -18 = -42 2d = -42 Divide each side by '2'. d = -21 Simplifying d = -21
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