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Simplifying 2(3k + 2) + -4(k + -3) = 0 Reorder the terms: 2(2 + 3k) + -4(k + -3) = 0 (2 * 2 + 3k * 2) + -4(k + -3) = 0 (4 + 6k) + -4(k + -3) = 0 Reorder the terms: 4 + 6k + -4(-3 + k) = 0 4 + 6k + (-3 * -4 + k * -4) = 0 4 + 6k + (12 + -4k) = 0 Reorder the terms: 4 + 12 + 6k + -4k = 0 Combine like terms: 4 + 12 = 16 16 + 6k + -4k = 0 Combine like terms: 6k + -4k = 2k 16 + 2k = 0 Solving 16 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2k = 0 + -16 2k = 0 + -16 Combine like terms: 0 + -16 = -16 2k = -16 Divide each side by '2'. k = -8 Simplifying k = -8
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