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Simplifying -12k + -11(-1k + 11) = -1(1 + 9k) Reorder the terms: -12k + -11(11 + -1k) = -1(1 + 9k) -12k + (11 * -11 + -1k * -11) = -1(1 + 9k) -12k + (-121 + 11k) = -1(1 + 9k) Reorder the terms: -121 + -12k + 11k = -1(1 + 9k) Combine like terms: -12k + 11k = -1k -121 + -1k = -1(1 + 9k) -121 + -1k = (1 * -1 + 9k * -1) -121 + -1k = (-1 + -9k) Solving -121 + -1k = -1 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -121 + -1k + 9k = -1 + -9k + 9k Combine like terms: -1k + 9k = 8k -121 + 8k = -1 + -9k + 9k Combine like terms: -9k + 9k = 0 -121 + 8k = -1 + 0 -121 + 8k = -1 Add '121' to each side of the equation. -121 + 121 + 8k = -1 + 121 Combine like terms: -121 + 121 = 0 0 + 8k = -1 + 121 8k = -1 + 121 Combine like terms: -1 + 121 = 120 8k = 120 Divide each side by '8'. k = 15 Simplifying k = 15
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