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Simplifying 5k + 9 = 8k + -3 Reorder the terms: 9 + 5k = 8k + -3 Reorder the terms: 9 + 5k = -3 + 8k Solving 9 + 5k = -3 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 9 + 5k + -8k = -3 + 8k + -8k Combine like terms: 5k + -8k = -3k 9 + -3k = -3 + 8k + -8k Combine like terms: 8k + -8k = 0 9 + -3k = -3 + 0 9 + -3k = -3 Add '-9' to each side of the equation. 9 + -9 + -3k = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -3k = -3 + -9 -3k = -3 + -9 Combine like terms: -3 + -9 = -12 -3k = -12 Divide each side by '-3'. k = 4 Simplifying k = 4
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