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Simplifying 7(2k + 4) + -1(3k + 1) = 14 Reorder the terms: 7(4 + 2k) + -1(3k + 1) = 14 (4 * 7 + 2k * 7) + -1(3k + 1) = 14 (28 + 14k) + -1(3k + 1) = 14 Reorder the terms: 28 + 14k + -1(1 + 3k) = 14 28 + 14k + (1 * -1 + 3k * -1) = 14 28 + 14k + (-1 + -3k) = 14 Reorder the terms: 28 + -1 + 14k + -3k = 14 Combine like terms: 28 + -1 = 27 27 + 14k + -3k = 14 Combine like terms: 14k + -3k = 11k 27 + 11k = 14 Solving 27 + 11k = 14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 11k = 14 + -27 Combine like terms: 27 + -27 = 0 0 + 11k = 14 + -27 11k = 14 + -27 Combine like terms: 14 + -27 = -13 11k = -13 Divide each side by '11'. k = -1.181818182 Simplifying k = -1.181818182
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