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Simplifying [d + 2] = 3[d + -6] Reorder the terms: [2 + d] = 3[d + -6] Remove brackets around [2 + d] 2 + d = 3[d + -6] Reorder the terms: 2 + d = 3[-6 + d] 2 + d = [-6 * 3 + d * 3] 2 + d = [-18 + 3d] Solving 2 + d = -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. 2 + d + -3d = -18 + 3d + -3d Combine like terms: d + -3d = -2d 2 + -2d = -18 + 3d + -3d Combine like terms: 3d + -3d = 0 2 + -2d = -18 + 0 2 + -2d = -18 Add '-2' to each side of the equation. 2 + -2 + -2d = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -2d = -18 + -2 -2d = -18 + -2 Combine like terms: -18 + -2 = -20 -2d = -20 Divide each side by '-2'. d = 10 Simplifying d = 10
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