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Simplifying 5(1 + -7k) = -205 (1 * 5 + -7k * 5) = -205 (5 + -35k) = -205 Solving 5 + -35k = -205 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 + -35k = -205 + -5 Combine like terms: 5 + -5 = 0 0 + -35k = -205 + -5 -35k = -205 + -5 Combine like terms: -205 + -5 = -210 -35k = -210 Divide each side by '-35'. k = 6 Simplifying k = 6
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