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Simplifying -4(-2k + -7) + 2(-1 + -1k) = 0 Reorder the terms: -4(-7 + -2k) + 2(-1 + -1k) = 0 (-7 * -4 + -2k * -4) + 2(-1 + -1k) = 0 (28 + 8k) + 2(-1 + -1k) = 0 28 + 8k + (-1 * 2 + -1k * 2) = 0 28 + 8k + (-2 + -2k) = 0 Reorder the terms: 28 + -2 + 8k + -2k = 0 Combine like terms: 28 + -2 = 26 26 + 8k + -2k = 0 Combine like terms: 8k + -2k = 6k 26 + 6k = 0 Solving 26 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 6k = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 6k = 0 + -26 6k = 0 + -26 Combine like terms: 0 + -26 = -26 6k = -26 Divide each side by '6'. k = -4.333333333 Simplifying k = -4.333333333
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