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Simplifying 6(-1k + -20) = k + -1 Reorder the terms: 6(-20 + -1k) = k + -1 (-20 * 6 + -1k * 6) = k + -1 (-120 + -6k) = k + -1 Reorder the terms: -120 + -6k = -1 + k Solving -120 + -6k = -1 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -120 + -6k + -1k = -1 + k + -1k Combine like terms: -6k + -1k = -7k -120 + -7k = -1 + k + -1k Combine like terms: k + -1k = 0 -120 + -7k = -1 + 0 -120 + -7k = -1 Add '120' to each side of the equation. -120 + 120 + -7k = -1 + 120 Combine like terms: -120 + 120 = 0 0 + -7k = -1 + 120 -7k = -1 + 120 Combine like terms: -1 + 120 = 119 -7k = 119 Divide each side by '-7'. k = -17 Simplifying k = -17
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