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Simplifying -28 + 6k = 12 + k Solving -28 + 6k = 12 + 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. -28 + 6k + -1k = 12 + k + -1k Combine like terms: 6k + -1k = 5k -28 + 5k = 12 + k + -1k Combine like terms: k + -1k = 0 -28 + 5k = 12 + 0 -28 + 5k = 12 Add '28' to each side of the equation. -28 + 28 + 5k = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 5k = 12 + 28 5k = 12 + 28 Combine like terms: 12 + 28 = 40 5k = 40 Divide each side by '5'. k = 8 Simplifying k = 8
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