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Simplifying 110 = 2(7 + -6k) 110 = (7 * 2 + -6k * 2) 110 = (14 + -12k) Solving 110 = 14 + -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. 110 + 12k = 14 + -12k + 12k Combine like terms: -12k + 12k = 0 110 + 12k = 14 + 0 110 + 12k = 14 Add '-110' to each side of the equation. 110 + -110 + 12k = 14 + -110 Combine like terms: 110 + -110 = 0 0 + 12k = 14 + -110 12k = 14 + -110 Combine like terms: 14 + -110 = -96 12k = -96 Divide each side by '12'. k = -8 Simplifying k = -8
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