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Simplifying 3(8k + -6) = 2(6k + -9) Reorder the terms: 3(-6 + 8k) = 2(6k + -9) (-6 * 3 + 8k * 3) = 2(6k + -9) (-18 + 24k) = 2(6k + -9) Reorder the terms: -18 + 24k = 2(-9 + 6k) -18 + 24k = (-9 * 2 + 6k * 2) -18 + 24k = (-18 + 12k) Add '18' to each side of the equation. -18 + 18 + 24k = -18 + 18 + 12k Combine like terms: -18 + 18 = 0 0 + 24k = -18 + 18 + 12k 24k = -18 + 18 + 12k Combine like terms: -18 + 18 = 0 24k = 0 + 12k 24k = 12k Solving 24k = 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 24k + -12k = 12k + -12k Combine like terms: 24k + -12k = 12k 12k = 12k + -12k Combine like terms: 12k + -12k = 0 12k = 0 Divide each side by '12'. k = 0 Simplifying k = 0
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