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Simplifying 3(2k + 8) + -2(k + 3) = 0 Reorder the terms: 3(8 + 2k) + -2(k + 3) = 0 (8 * 3 + 2k * 3) + -2(k + 3) = 0 (24 + 6k) + -2(k + 3) = 0 Reorder the terms: 24 + 6k + -2(3 + k) = 0 24 + 6k + (3 * -2 + k * -2) = 0 24 + 6k + (-6 + -2k) = 0 Reorder the terms: 24 + -6 + 6k + -2k = 0 Combine like terms: 24 + -6 = 18 18 + 6k + -2k = 0 Combine like terms: 6k + -2k = 4k 18 + 4k = 0 Solving 18 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 4k = 0 + -18 4k = 0 + -18 Combine like terms: 0 + -18 = -18 4k = -18 Divide each side by '4'. k = -4.5 Simplifying k = -4.5
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