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Simplifying 9k + 4.2 = k + 8 Reorder the terms: 4.2 + 9k = k + 8 Reorder the terms: 4.2 + 9k = 8 + k Solving 4.2 + 9k = 8 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 4.2 + 9k + -1k = 8 + k + -1k Combine like terms: 9k + -1k = 8k 4.2 + 8k = 8 + k + -1k Combine like terms: k + -1k = 0 4.2 + 8k = 8 + 0 4.2 + 8k = 8 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 8k = 8 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 8k = 8 + -4.2 8k = 8 + -4.2 Combine like terms: 8 + -4.2 = 3.8 8k = 3.8 Divide each side by '8'. k = 0.475 Simplifying k = 0.475
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