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Simplifying 21k + 5 = 3k + 1 Reorder the terms: 5 + 21k = 3k + 1 Reorder the terms: 5 + 21k = 1 + 3k Solving 5 + 21k = 1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 5 + 21k + -3k = 1 + 3k + -3k Combine like terms: 21k + -3k = 18k 5 + 18k = 1 + 3k + -3k Combine like terms: 3k + -3k = 0 5 + 18k = 1 + 0 5 + 18k = 1 Add '-5' to each side of the equation. 5 + -5 + 18k = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 18k = 1 + -5 18k = 1 + -5 Combine like terms: 1 + -5 = -4 18k = -4 Divide each side by '18'. k = -0.2222222222 Simplifying k = -0.2222222222
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