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Simplifying k + -2(1 + -6k) = 89 k + (1 * -2 + -6k * -2) = 89 k + (-2 + 12k) = 89 Reorder the terms: -2 + k + 12k = 89 Combine like terms: k + 12k = 13k -2 + 13k = 89 Solving -2 + 13k = 89 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 13k = 89 + 2 Combine like terms: -2 + 2 = 0 0 + 13k = 89 + 2 13k = 89 + 2 Combine like terms: 89 + 2 = 91 13k = 91 Divide each side by '13'. k = 7 Simplifying k = 7
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