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Simplifying 5 + -6k = 2k + -9 Reorder the terms: 5 + -6k = -9 + 2k Solving 5 + -6k = -9 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 5 + -6k + -2k = -9 + 2k + -2k Combine like terms: -6k + -2k = -8k 5 + -8k = -9 + 2k + -2k Combine like terms: 2k + -2k = 0 5 + -8k = -9 + 0 5 + -8k = -9 Add '-5' to each side of the equation. 5 + -5 + -8k = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -8k = -9 + -5 -8k = -9 + -5 Combine like terms: -9 + -5 = -14 -8k = -14 Divide each side by '-8'. k = 1.75 Simplifying k = 1.75
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