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Simplifying 20 + 8k = 6(1 + 3k) + 4 20 + 8k = (1 * 6 + 3k * 6) + 4 20 + 8k = (6 + 18k) + 4 Reorder the terms: 20 + 8k = 6 + 4 + 18k Combine like terms: 6 + 4 = 10 20 + 8k = 10 + 18k Solving 20 + 8k = 10 + 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. 20 + 8k + -18k = 10 + 18k + -18k Combine like terms: 8k + -18k = -10k 20 + -10k = 10 + 18k + -18k Combine like terms: 18k + -18k = 0 20 + -10k = 10 + 0 20 + -10k = 10 Add '-20' to each side of the equation. 20 + -20 + -10k = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -10k = 10 + -20 -10k = 10 + -20 Combine like terms: 10 + -20 = -10 -10k = -10 Divide each side by '-10'. k = 1 Simplifying k = 1
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