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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 = -96 12k = -96 Divide each side by '12'. k = -8 Simplifying k = -8
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