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Simplifying 5(3 + -1k) + 2(3 + -1k) = 14 (3 * 5 + -1k * 5) + 2(3 + -1k) = 14 (15 + -5k) + 2(3 + -1k) = 14 15 + -5k + (3 * 2 + -1k * 2) = 14 15 + -5k + (6 + -2k) = 14 Reorder the terms: 15 + 6 + -5k + -2k = 14 Combine like terms: 15 + 6 = 21 21 + -5k + -2k = 14 Combine like terms: -5k + -2k = -7k 21 + -7k = 14 Solving 21 + -7k = 14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -7k = 14 + -21 Combine like terms: 21 + -21 = 0 0 + -7k = 14 + -21 -7k = 14 + -21 Combine like terms: 14 + -21 = -7 -7k = -7 Divide each side by '-7'. k = 1 Simplifying k = 1
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