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Simplifying 5k + -2 = k + 6 Reorder the terms: -2 + 5k = k + 6 Reorder the terms: -2 + 5k = 6 + k Solving -2 + 5k = 6 + 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. -2 + 5k + -1k = 6 + k + -1k Combine like terms: 5k + -1k = 4k -2 + 4k = 6 + k + -1k Combine like terms: k + -1k = 0 -2 + 4k = 6 + 0 -2 + 4k = 6 Add '2' to each side of the equation. -2 + 2 + 4k = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 4k = 6 + 2 4k = 6 + 2 Combine like terms: 6 + 2 = 8 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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