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Simplifying 90 = 6(1 + -2k) 90 = (1 * 6 + -2k * 6) 90 = (6 + -12k) Solving 90 = 6 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 90 + 12k = 6 + -12k + 12k Combine like terms: -12k + 12k = 0 90 + 12k = 6 + 0 90 + 12k = 6 Add '-90' to each side of the equation. 90 + -90 + 12k = 6 + -90 Combine like terms: 90 + -90 = 0 0 + 12k = 6 + -90 12k = 6 + -90 Combine like terms: 6 + -90 = -84 12k = -84 Divide each side by '12'. k = -7 Simplifying k = -7
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