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Simplifying 14 + -1k = 3(k + -2) Reorder the terms: 14 + -1k = 3(-2 + k) 14 + -1k = (-2 * 3 + k * 3) 14 + -1k = (-6 + 3k) Solving 14 + -1k = -6 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 14 + -1k + -3k = -6 + 3k + -3k Combine like terms: -1k + -3k = -4k 14 + -4k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 14 + -4k = -6 + 0 14 + -4k = -6 Add '-14' to each side of the equation. 14 + -14 + -4k = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -4k = -6 + -14 -4k = -6 + -14 Combine like terms: -6 + -14 = -20 -4k = -20 Divide each side by '-4'. k = 5 Simplifying k = 5
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