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Simplifying 2 + 7(d + 1) = 9 + d Reorder the terms: 2 + 7(1 + d) = 9 + d 2 + (1 * 7 + d * 7) = 9 + d 2 + (7 + 7d) = 9 + d Combine like terms: 2 + 7 = 9 9 + 7d = 9 + d Add '-9' to each side of the equation. 9 + -9 + 7d = 9 + -9 + d Combine like terms: 9 + -9 = 0 0 + 7d = 9 + -9 + d 7d = 9 + -9 + d Combine like terms: 9 + -9 = 0 7d = 0 + d 7d = d Solving 7d = 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. 7d + -1d = d + -1d Combine like terms: 7d + -1d = 6d 6d = d + -1d Combine like terms: d + -1d = 0 6d = 0 Divide each side by '6'. d = 0 Simplifying d = 0
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