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Simplifying 3(8k + -6) + -6k = 4(2k + 3) Reorder the terms: 3(-6 + 8k) + -6k = 4(2k + 3) (-6 * 3 + 8k * 3) + -6k = 4(2k + 3) (-18 + 24k) + -6k = 4(2k + 3) Combine like terms: 24k + -6k = 18k -18 + 18k = 4(2k + 3) Reorder the terms: -18 + 18k = 4(3 + 2k) -18 + 18k = (3 * 4 + 2k * 4) -18 + 18k = (12 + 8k) Solving -18 + 18k = 12 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -18 + 18k + -8k = 12 + 8k + -8k Combine like terms: 18k + -8k = 10k -18 + 10k = 12 + 8k + -8k Combine like terms: 8k + -8k = 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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