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Simplifying -13 + 6k = 18 + 11k + 9 Reorder the terms: -13 + 6k = 18 + 9 + 11k Combine like terms: 18 + 9 = 27 -13 + 6k = 27 + 11k Solving -13 + 6k = 27 + 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. -13 + 6k + -11k = 27 + 11k + -11k Combine like terms: 6k + -11k = -5k -13 + -5k = 27 + 11k + -11k Combine like terms: 11k + -11k = 0 -13 + -5k = 27 + 0 -13 + -5k = 27 Add '13' to each side of the equation. -13 + 13 + -5k = 27 + 13 Combine like terms: -13 + 13 = 0 0 + -5k = 27 + 13 -5k = 27 + 13 Combine like terms: 27 + 13 = 40 -5k = 40 Divide each side by '-5'. k = -8 Simplifying k = -8
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