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Simplifying 2(-1 + 7d) + 6 = 8d + 16 (-1 * 2 + 7d * 2) + 6 = 8d + 16 (-2 + 14d) + 6 = 8d + 16 Reorder the terms: -2 + 6 + 14d = 8d + 16 Combine like terms: -2 + 6 = 4 4 + 14d = 8d + 16 Reorder the terms: 4 + 14d = 16 + 8d Solving 4 + 14d = 16 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 4 + 14d + -8d = 16 + 8d + -8d Combine like terms: 14d + -8d = 6d 4 + 6d = 16 + 8d + -8d Combine like terms: 8d + -8d = 0 4 + 6d = 16 + 0 4 + 6d = 16 Add '-4' to each side of the equation. 4 + -4 + 6d = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 6d = 16 + -4 6d = 16 + -4 Combine like terms: 16 + -4 = 12 6d = 12 Divide each side by '6'. d = 2 Simplifying d = 2
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