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Simplifying 6k + 11 = 7 + -2k + -36 Reorder the terms: 11 + 6k = 7 + -2k + -36 Reorder the terms: 11 + 6k = 7 + -36 + -2k Combine like terms: 7 + -36 = -29 11 + 6k = -29 + -2k Solving 11 + 6k = -29 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 11 + 6k + 2k = -29 + -2k + 2k Combine like terms: 6k + 2k = 8k 11 + 8k = -29 + -2k + 2k Combine like terms: -2k + 2k = 0 11 + 8k = -29 + 0 11 + 8k = -29 Add '-11' to each side of the equation. 11 + -11 + 8k = -29 + -11 Combine like terms: 11 + -11 = 0 0 + 8k = -29 + -11 8k = -29 + -11 Combine like terms: -29 + -11 = -40 8k = -40 Divide each side by '8'. k = -5 Simplifying k = -5
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