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Simplifying 4(3k + -6) = 6(3k + 5) Reorder the terms: 4(-6 + 3k) = 6(3k + 5) (-6 * 4 + 3k * 4) = 6(3k + 5) (-24 + 12k) = 6(3k + 5) Reorder the terms: -24 + 12k = 6(5 + 3k) -24 + 12k = (5 * 6 + 3k * 6) -24 + 12k = (30 + 18k) Solving -24 + 12k = 30 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -24 + 12k + -18k = 30 + 18k + -18k Combine like terms: 12k + -18k = -6k -24 + -6k = 30 + 18k + -18k Combine like terms: 18k + -18k = 0 -24 + -6k = 30 + 0 -24 + -6k = 30 Add '24' to each side of the equation. -24 + 24 + -6k = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -6k = 30 + 24 -6k = 30 + 24 Combine like terms: 30 + 24 = 54 -6k = 54 Divide each side by '-6'. k = -9 Simplifying k = -9
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