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Simplifying 9k + 3.5 = k + 13 Reorder the terms: 3.5 + 9k = k + 13 Reorder the terms: 3.5 + 9k = 13 + k Solving 3.5 + 9k = 13 + 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. 3.5 + 9k + -1k = 13 + k + -1k Combine like terms: 9k + -1k = 8k 3.5 + 8k = 13 + k + -1k Combine like terms: k + -1k = 0 3.5 + 8k = 13 + 0 3.5 + 8k = 13 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 8k = 13 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 8k = 13 + -3.5 8k = 13 + -3.5 Combine like terms: 13 + -3.5 = 9.5 8k = 9.5 Divide each side by '8'. k = 1.1875 Simplifying k = 1.1875
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