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Simplifying -2(3k + 7) + -4(k + -4) = 0 Reorder the terms: -2(7 + 3k) + -4(k + -4) = 0 (7 * -2 + 3k * -2) + -4(k + -4) = 0 (-14 + -6k) + -4(k + -4) = 0 Reorder the terms: -14 + -6k + -4(-4 + k) = 0 -14 + -6k + (-4 * -4 + k * -4) = 0 -14 + -6k + (16 + -4k) = 0 Reorder the terms: -14 + 16 + -6k + -4k = 0 Combine like terms: -14 + 16 = 2 2 + -6k + -4k = 0 Combine like terms: -6k + -4k = -10k 2 + -10k = 0 Solving 2 + -10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -10k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -10k = 0 + -2 -10k = 0 + -2 Combine like terms: 0 + -2 = -2 -10k = -2 Divide each side by '-10'. k = 0.2 Simplifying k = 0.2
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