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Simplifying 7(3 + -1k) = -3k + -14 (3 * 7 + -1k * 7) = -3k + -14 (21 + -7k) = -3k + -14 Reorder the terms: 21 + -7k = -14 + -3k Solving 21 + -7k = -14 + -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. 21 + -7k + 3k = -14 + -3k + 3k Combine like terms: -7k + 3k = -4k 21 + -4k = -14 + -3k + 3k Combine like terms: -3k + 3k = 0 21 + -4k = -14 + 0 21 + -4k = -14 Add '-21' to each side of the equation. 21 + -21 + -4k = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -4k = -14 + -21 -4k = -14 + -21 Combine like terms: -14 + -21 = -35 -4k = -35 Divide each side by '-4'. k = 8.75 Simplifying k = 8.75
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