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Simplifying 11 = -1 + -6(1 + -3k) 11 = -1 + (1 * -6 + -3k * -6) 11 = -1 + (-6 + 18k) Combine like terms: -1 + -6 = -7 11 = -7 + 18k Solving 11 = -7 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 11 + -18k = -7 + 18k + -18k Combine like terms: 18k + -18k = 0 11 + -18k = -7 + 0 11 + -18k = -7 Add '-11' to each side of the equation. 11 + -11 + -18k = -7 + -11 Combine like terms: 11 + -11 = 0 0 + -18k = -7 + -11 -18k = -7 + -11 Combine like terms: -7 + -11 = -18 -18k = -18 Divide each side by '-18'. k = 1 Simplifying k = 1
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