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Simplifying 301 = 7(8k + 3) Reorder the terms: 301 = 7(3 + 8k) 301 = (3 * 7 + 8k * 7) 301 = (21 + 56k) Solving 301 = 21 + 56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56k' to each side of the equation. 301 + -56k = 21 + 56k + -56k Combine like terms: 56k + -56k = 0 301 + -56k = 21 + 0 301 + -56k = 21 Add '-301' to each side of the equation. 301 + -301 + -56k = 21 + -301 Combine like terms: 301 + -301 = 0 0 + -56k = 21 + -301 -56k = 21 + -301 Combine like terms: 21 + -301 = -280 -56k = -280 Divide each side by '-56'. k = 5 Simplifying k = 5
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