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Simplifying 2(6 + -1k) = -8 + 11(3 + k) (6 * 2 + -1k * 2) = -8 + 11(3 + k) (12 + -2k) = -8 + 11(3 + k) 12 + -2k = -8 + (3 * 11 + k * 11) 12 + -2k = -8 + (33 + 11k) Combine like terms: -8 + 33 = 25 12 + -2k = 25 + 11k Solving 12 + -2k = 25 + 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. 12 + -2k + -11k = 25 + 11k + -11k Combine like terms: -2k + -11k = -13k 12 + -13k = 25 + 11k + -11k Combine like terms: 11k + -11k = 0 12 + -13k = 25 + 0 12 + -13k = 25 Add '-12' to each side of the equation. 12 + -12 + -13k = 25 + -12 Combine like terms: 12 + -12 = 0 0 + -13k = 25 + -12 -13k = 25 + -12 Combine like terms: 25 + -12 = 13 -13k = 13 Divide each side by '-13'. k = -1 Simplifying k = -1
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