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Simplifying 5(1 + -6k) + -4k = -199 (1 * 5 + -6k * 5) + -4k = -199 (5 + -30k) + -4k = -199 Combine like terms: -30k + -4k = -34k 5 + -34k = -199 Solving 5 + -34k = -199 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 + -34k = -199 + -5 Combine like terms: 5 + -5 = 0 0 + -34k = -199 + -5 -34k = -199 + -5 Combine like terms: -199 + -5 = -204 -34k = -204 Divide each side by '-34'. k = 6 Simplifying k = 6
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