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Simplifying 9 + -3k = 5k + 1 Reorder the terms: 9 + -3k = 1 + 5k Solving 9 + -3k = 1 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 9 + -3k + -5k = 1 + 5k + -5k Combine like terms: -3k + -5k = -8k 9 + -8k = 1 + 5k + -5k Combine like terms: 5k + -5k = 0 9 + -8k = 1 + 0 9 + -8k = 1 Add '-9' to each side of the equation. 9 + -9 + -8k = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -8k = 1 + -9 -8k = 1 + -9 Combine like terms: 1 + -9 = -8 -8k = -8 Divide each side by '-8'. k = 1 Simplifying k = 1
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