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Simplifying 3(2k + 8) + -2(k + -6) = 0 Reorder the terms: 3(8 + 2k) + -2(k + -6) = 0 (8 * 3 + 2k * 3) + -2(k + -6) = 0 (24 + 6k) + -2(k + -6) = 0 Reorder the terms: 24 + 6k + -2(-6 + k) = 0 24 + 6k + (-6 * -2 + k * -2) = 0 24 + 6k + (12 + -2k) = 0 Reorder the terms: 24 + 12 + 6k + -2k = 0 Combine like terms: 24 + 12 = 36 36 + 6k + -2k = 0 Combine like terms: 6k + -2k = 4k 36 + 4k = 0 Solving 36 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 4k = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 4k = 0 + -36 4k = 0 + -36 Combine like terms: 0 + -36 = -36 4k = -36 Divide each side by '4'. k = -9 Simplifying k = -9
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