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