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Simplifying 5[d + 2] = 3[d + -6] Reorder the terms: 5[2 + d] = 3[d + -6] [2 * 5 + d * 5] = 3[d + -6] [10 + 5d] = 3[d + -6] Reorder the terms: 10 + 5d = 3[-6 + d] 10 + 5d = [-6 * 3 + d * 3] 10 + 5d = [-18 + 3d] Solving 10 + 5d = -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. 10 + 5d + -3d = -18 + 3d + -3d Combine like terms: 5d + -3d = 2d 10 + 2d = -18 + 3d + -3d Combine like terms: 3d + -3d = 0 10 + 2d = -18 + 0 10 + 2d = -18 Add '-10' to each side of the equation. 10 + -10 + 2d = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 2d = -18 + -10 2d = -18 + -10 Combine like terms: -18 + -10 = -28 2d = -28 Divide each side by '2'. d = -14 Simplifying d = -14
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