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Simplifying -13(d + 1) = -165 Reorder the terms: -13(1 + d) = -165 (1 * -13 + d * -13) = -165 (-13 + -13d) = -165 Solving -13 + -13d = -165 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 = -165 + 13 Combine like terms: -13 + 13 = 0 0 + -13d = -165 + 13 -13d = -165 + 13 Combine like terms: -165 + 13 = -152 -13d = -152 Divide each side by '-13'. d = 11.69230769 Simplifying d = 11.69230769
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