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Simplifying 13(d + 1) = -169 Reorder the terms: 13(1 + d) = -169 (1 * 13 + d * 13) = -169 (13 + 13d) = -169 Solving 13 + 13d = -169 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 13d = -169 + -13 Combine like terms: 13 + -13 = 0 0 + 13d = -169 + -13 13d = -169 + -13 Combine like terms: -169 + -13 = -182 13d = -182 Divide each side by '13'. d = -14 Simplifying d = -14
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