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Simplifying 1 + -2k = 11 + -3k + 6k Combine like terms: -3k + 6k = 3k 1 + -2k = 11 + 3k Solving 1 + -2k = 11 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 1 + -2k + -3k = 11 + 3k + -3k Combine like terms: -2k + -3k = -5k 1 + -5k = 11 + 3k + -3k Combine like terms: 3k + -3k = 0 1 + -5k = 11 + 0 1 + -5k = 11 Add '-1' to each side of the equation. 1 + -1 + -5k = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -5k = 11 + -1 -5k = 11 + -1 Combine like terms: 11 + -1 = 10 -5k = 10 Divide each side by '-5'. k = -2 Simplifying k = -2
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