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Simplifying 13(1 + 13k) = -1(-9k + -13) (1 * 13 + 13k * 13) = -1(-9k + -13) (13 + 169k) = -1(-9k + -13) Reorder the terms: 13 + 169k = -1(-13 + -9k) 13 + 169k = (-13 * -1 + -9k * -1) 13 + 169k = (13 + 9k) Add '-13' to each side of the equation. 13 + -13 + 169k = 13 + -13 + 9k Combine like terms: 13 + -13 = 0 0 + 169k = 13 + -13 + 9k 169k = 13 + -13 + 9k Combine like terms: 13 + -13 = 0 169k = 0 + 9k 169k = 9k Solving 169k = 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 169k + -9k = 9k + -9k Combine like terms: 169k + -9k = 160k 160k = 9k + -9k Combine like terms: 9k + -9k = 0 160k = 0 Divide each side by '160'. k = 0.0 Simplifying k = 0.0
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