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Simplifying 8(2 + d) + 2 = 2(16 + d) (2 * 8 + d * 8) + 2 = 2(16 + d) (16 + 8d) + 2 = 2(16 + d) Reorder the terms: 16 + 2 + 8d = 2(16 + d) Combine like terms: 16 + 2 = 18 18 + 8d = 2(16 + d) 18 + 8d = (16 * 2 + d * 2) 18 + 8d = (32 + 2d) Solving 18 + 8d = 32 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 18 + 8d + -2d = 32 + 2d + -2d Combine like terms: 8d + -2d = 6d 18 + 6d = 32 + 2d + -2d Combine like terms: 2d + -2d = 0 18 + 6d = 32 + 0 18 + 6d = 32 Add '-18' to each side of the equation. 18 + -18 + 6d = 32 + -18 Combine like terms: 18 + -18 = 0 0 + 6d = 32 + -18 6d = 32 + -18 Combine like terms: 32 + -18 = 14 6d = 14 Divide each side by '6'. d = 2.333333333 Simplifying d = 2.333333333
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