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Simplifying 5(1 + -4k) = -115 (1 * 5 + -4k * 5) = -115 (5 + -20k) = -115 Solving 5 + -20k = -115 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -20k = -115 + -5 Combine like terms: 5 + -5 = 0 0 + -20k = -115 + -5 -20k = -115 + -5 Combine like terms: -115 + -5 = -120 -20k = -120 Divide each side by '-20'. k = 6 Simplifying k = 6
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