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Simplifying 2(4d + 4) = d + 1 Reorder the terms: 2(4 + 4d) = d + 1 (4 * 2 + 4d * 2) = d + 1 (8 + 8d) = d + 1 Reorder the terms: 8 + 8d = 1 + d Solving 8 + 8d = 1 + 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. 8 + 8d + -1d = 1 + d + -1d Combine like terms: 8d + -1d = 7d 8 + 7d = 1 + d + -1d Combine like terms: d + -1d = 0 8 + 7d = 1 + 0 8 + 7d = 1 Add '-8' to each side of the equation. 8 + -8 + 7d = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 7d = 1 + -8 7d = 1 + -8 Combine like terms: 1 + -8 = -7 7d = -7 Divide each side by '7'. d = -1 Simplifying d = -1
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