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Simplifying 6(k + -3) = 4(3 + -1k) Reorder the terms: 6(-3 + k) = 4(3 + -1k) (-3 * 6 + k * 6) = 4(3 + -1k) (-18 + 6k) = 4(3 + -1k) -18 + 6k = (3 * 4 + -1k * 4) -18 + 6k = (12 + -4k) Solving -18 + 6k = 12 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -18 + 6k + 4k = 12 + -4k + 4k Combine like terms: 6k + 4k = 10k -18 + 10k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 -18 + 10k = 12 + 0 -18 + 10k = 12 Add '18' to each side of the equation. -18 + 18 + 10k = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10k = 12 + 18 10k = 12 + 18 Combine like terms: 12 + 18 = 30 10k = 30 Divide each side by '10'. k = 3 Simplifying k = 3
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