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Simplifying 6k + -12 = k + 13 Reorder the terms: -12 + 6k = k + 13 Reorder the terms: -12 + 6k = 13 + k Solving -12 + 6k = 13 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -12 + 6k + -1k = 13 + k + -1k Combine like terms: 6k + -1k = 5k -12 + 5k = 13 + k + -1k Combine like terms: k + -1k = 0 -12 + 5k = 13 + 0 -12 + 5k = 13 Add '12' to each side of the equation. -12 + 12 + 5k = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 5k = 13 + 12 5k = 13 + 12 Combine like terms: 13 + 12 = 25 5k = 25 Divide each side by '5'. k = 5 Simplifying k = 5
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