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Simplifying 2(k + -1) = 11(k + -1) Reorder the terms: 2(-1 + k) = 11(k + -1) (-1 * 2 + k * 2) = 11(k + -1) (-2 + 2k) = 11(k + -1) Reorder the terms: -2 + 2k = 11(-1 + k) -2 + 2k = (-1 * 11 + k * 11) -2 + 2k = (-11 + 11k) Solving -2 + 2k = -11 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. -2 + 2k + -11k = -11 + 11k + -11k Combine like terms: 2k + -11k = -9k -2 + -9k = -11 + 11k + -11k Combine like terms: 11k + -11k = 0 -2 + -9k = -11 + 0 -2 + -9k = -11 Add '2' to each side of the equation. -2 + 2 + -9k = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -9k = -11 + 2 -9k = -11 + 2 Combine like terms: -11 + 2 = -9 -9k = -9 Divide each side by '-9'. k = 1 Simplifying k = 1
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