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Simplifying 2(3k + -1) + -4(k + -7) = 0 Reorder the terms: 2(-1 + 3k) + -4(k + -7) = 0 (-1 * 2 + 3k * 2) + -4(k + -7) = 0 (-2 + 6k) + -4(k + -7) = 0 Reorder the terms: -2 + 6k + -4(-7 + k) = 0 -2 + 6k + (-7 * -4 + k * -4) = 0 -2 + 6k + (28 + -4k) = 0 Reorder the terms: -2 + 28 + 6k + -4k = 0 Combine like terms: -2 + 28 = 26 26 + 6k + -4k = 0 Combine like terms: 6k + -4k = 2k 26 + 2k = 0 Solving 26 + 2k = 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 + 2k = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 2k = 0 + -26 2k = 0 + -26 Combine like terms: 0 + -26 = -26 2k = -26 Divide each side by '2'. k = -13 Simplifying k = -13
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