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Simplifying 2(3k + 9) + -4(k + 6) = 0 Reorder the terms: 2(9 + 3k) + -4(k + 6) = 0 (9 * 2 + 3k * 2) + -4(k + 6) = 0 (18 + 6k) + -4(k + 6) = 0 Reorder the terms: 18 + 6k + -4(6 + k) = 0 18 + 6k + (6 * -4 + k * -4) = 0 18 + 6k + (-24 + -4k) = 0 Reorder the terms: 18 + -24 + 6k + -4k = 0 Combine like terms: 18 + -24 = -6 -6 + 6k + -4k = 0 Combine like terms: 6k + -4k = 2k -6 + 2k = 0 Solving -6 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 2k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2k = 0 + 6 2k = 0 + 6 Combine like terms: 0 + 6 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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