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Simplifying 3(5k + -6) + 2(3k + 4) = 0 Reorder the terms: 3(-6 + 5k) + 2(3k + 4) = 0 (-6 * 3 + 5k * 3) + 2(3k + 4) = 0 (-18 + 15k) + 2(3k + 4) = 0 Reorder the terms: -18 + 15k + 2(4 + 3k) = 0 -18 + 15k + (4 * 2 + 3k * 2) = 0 -18 + 15k + (8 + 6k) = 0 Reorder the terms: -18 + 8 + 15k + 6k = 0 Combine like terms: -18 + 8 = -10 -10 + 15k + 6k = 0 Combine like terms: 15k + 6k = 21k -10 + 21k = 0 Solving -10 + 21k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 21k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 21k = 0 + 10 21k = 0 + 10 Combine like terms: 0 + 10 = 10 21k = 10 Divide each side by '21'. k = 0.4761904762 Simplifying k = 0.4761904762
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