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Simplifying 46 + -5k = 3k + 64 Reorder the terms: 46 + -5k = 64 + 3k Solving 46 + -5k = 64 + 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. 46 + -5k + -3k = 64 + 3k + -3k Combine like terms: -5k + -3k = -8k 46 + -8k = 64 + 3k + -3k Combine like terms: 3k + -3k = 0 46 + -8k = 64 + 0 46 + -8k = 64 Add '-46' to each side of the equation. 46 + -46 + -8k = 64 + -46 Combine like terms: 46 + -46 = 0 0 + -8k = 64 + -46 -8k = 64 + -46 Combine like terms: 64 + -46 = 18 -8k = 18 Divide each side by '-8'. k = -2.25 Simplifying k = -2.25
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