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Simplifying 46 + -8k = 3k + 63 Reorder the terms: 46 + -8k = 63 + 3k Solving 46 + -8k = 63 + 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 + -8k + -3k = 63 + 3k + -3k Combine like terms: -8k + -3k = -11k 46 + -11k = 63 + 3k + -3k Combine like terms: 3k + -3k = 0 46 + -11k = 63 + 0 46 + -11k = 63 Add '-46' to each side of the equation. 46 + -46 + -11k = 63 + -46 Combine like terms: 46 + -46 = 0 0 + -11k = 63 + -46 -11k = 63 + -46 Combine like terms: 63 + -46 = 17 -11k = 17 Divide each side by '-11'. k = -1.545454545 Simplifying k = -1.545454545
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