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Simplifying k + -2 = 7 + -5k Reorder the terms: -2 + k = 7 + -5k Solving -2 + k = 7 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -2 + k + 5k = 7 + -5k + 5k Combine like terms: k + 5k = 6k -2 + 6k = 7 + -5k + 5k Combine like terms: -5k + 5k = 0 -2 + 6k = 7 + 0 -2 + 6k = 7 Add '2' to each side of the equation. -2 + 2 + 6k = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 6k = 7 + 2 6k = 7 + 2 Combine like terms: 7 + 2 = 9 6k = 9 Divide each side by '6'. k = 1.5 Simplifying k = 1.5
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