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Simplifying 6k + 36 = 8k + 46 Reorder the terms: 36 + 6k = 8k + 46 Reorder the terms: 36 + 6k = 46 + 8k Solving 36 + 6k = 46 + 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. 36 + 6k + -8k = 46 + 8k + -8k Combine like terms: 6k + -8k = -2k 36 + -2k = 46 + 8k + -8k Combine like terms: 8k + -8k = 0 36 + -2k = 46 + 0 36 + -2k = 46 Add '-36' to each side of the equation. 36 + -36 + -2k = 46 + -36 Combine like terms: 36 + -36 = 0 0 + -2k = 46 + -36 -2k = 46 + -36 Combine like terms: 46 + -36 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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