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Simplifying 14 = -1(1 + k) 14 = (1 * -1 + k * -1) 14 = (-1 + -1k) Solving 14 = -1 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 14 + k = -1 + -1k + k Combine like terms: -1k + k = 0 14 + k = -1 + 0 14 + k = -1 Add '-14' to each side of the equation. 14 + -14 + k = -1 + -14 Combine like terms: 14 + -14 = 0 0 + k = -1 + -14 k = -1 + -14 Combine like terms: -1 + -14 = -15 k = -15 Simplifying k = -15
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