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Simplifying 3(4k + -6) + 2(-3k + 7) = 14 Reorder the terms: 3(-6 + 4k) + 2(-3k + 7) = 14 (-6 * 3 + 4k * 3) + 2(-3k + 7) = 14 (-18 + 12k) + 2(-3k + 7) = 14 Reorder the terms: -18 + 12k + 2(7 + -3k) = 14 -18 + 12k + (7 * 2 + -3k * 2) = 14 -18 + 12k + (14 + -6k) = 14 Reorder the terms: -18 + 14 + 12k + -6k = 14 Combine like terms: -18 + 14 = -4 -4 + 12k + -6k = 14 Combine like terms: 12k + -6k = 6k -4 + 6k = 14 Solving -4 + 6k = 14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6k = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 6k = 14 + 4 6k = 14 + 4 Combine like terms: 14 + 4 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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