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Simplifying 12 + k + -7 + 6 = 1 + 8k + -5k Reorder the terms: 12 + -7 + 6 + k = 1 + 8k + -5k Combine like terms: 12 + -7 = 5 5 + 6 + k = 1 + 8k + -5k Combine like terms: 5 + 6 = 11 11 + k = 1 + 8k + -5k Combine like terms: 8k + -5k = 3k 11 + k = 1 + 3k Solving 11 + k = 1 + 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. 11 + k + -3k = 1 + 3k + -3k Combine like terms: k + -3k = -2k 11 + -2k = 1 + 3k + -3k Combine like terms: 3k + -3k = 0 11 + -2k = 1 + 0 11 + -2k = 1 Add '-11' to each side of the equation. 11 + -11 + -2k = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -2k = 1 + -11 -2k = 1 + -11 Combine like terms: 1 + -11 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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