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Simplifying 5(1 + -6k) = -155 (1 * 5 + -6k * 5) = -155 (5 + -30k) = -155 Solving 5 + -30k = -155 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 + -30k = -155 + -5 Combine like terms: 5 + -5 = 0 0 + -30k = -155 + -5 -30k = -155 + -5 Combine like terms: -155 + -5 = -160 -30k = -160 Divide each side by '-30'. k = 5.333333333 Simplifying k = 5.333333333
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