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Simplifying 2(3k + -7) + -4(k + -7) = 0 Reorder the terms: 2(-7 + 3k) + -4(k + -7) = 0 (-7 * 2 + 3k * 2) + -4(k + -7) = 0 (-14 + 6k) + -4(k + -7) = 0 Reorder the terms: -14 + 6k + -4(-7 + k) = 0 -14 + 6k + (-7 * -4 + k * -4) = 0 -14 + 6k + (28 + -4k) = 0 Reorder the terms: -14 + 28 + 6k + -4k = 0 Combine like terms: -14 + 28 = 14 14 + 6k + -4k = 0 Combine like terms: 6k + -4k = 2k 14 + 2k = 0 Solving 14 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2k = 0 + -14 2k = 0 + -14 Combine like terms: 0 + -14 = -14 2k = -14 Divide each side by '2'. k = -7 Simplifying k = -7
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