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Simplifying -1(11k + 2) = -5(k + 4) Reorder the terms: -1(2 + 11k) = -5(k + 4) (2 * -1 + 11k * -1) = -5(k + 4) (-2 + -11k) = -5(k + 4) Reorder the terms: -2 + -11k = -5(4 + k) -2 + -11k = (4 * -5 + k * -5) -2 + -11k = (-20 + -5k) Solving -2 + -11k = -20 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -2 + -11k + 5k = -20 + -5k + 5k Combine like terms: -11k + 5k = -6k -2 + -6k = -20 + -5k + 5k Combine like terms: -5k + 5k = 0 -2 + -6k = -20 + 0 -2 + -6k = -20 Add '2' to each side of the equation. -2 + 2 + -6k = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -6k = -20 + 2 -6k = -20 + 2 Combine like terms: -20 + 2 = -18 -6k = -18 Divide each side by '-6'. k = 3 Simplifying k = 3
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