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Simplifying 5k + 8 = 9 + -3k Reorder the terms: 8 + 5k = 9 + -3k Solving 8 + 5k = 9 + -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. 8 + 5k + 3k = 9 + -3k + 3k Combine like terms: 5k + 3k = 8k 8 + 8k = 9 + -3k + 3k Combine like terms: -3k + 3k = 0 8 + 8k = 9 + 0 8 + 8k = 9 Add '-8' to each side of the equation. 8 + -8 + 8k = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 8k = 9 + -8 8k = 9 + -8 Combine like terms: 9 + -8 = 1 8k = 1 Divide each side by '8'. k = 0.125 Simplifying k = 0.125
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