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Simplifying 4 + -5k = 8 + k Solving 4 + -5k = 8 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 4 + -5k + -1k = 8 + k + -1k Combine like terms: -5k + -1k = -6k 4 + -6k = 8 + k + -1k Combine like terms: k + -1k = 0 4 + -6k = 8 + 0 4 + -6k = 8 Add '-4' to each side of the equation. 4 + -4 + -6k = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -6k = 8 + -4 -6k = 8 + -4 Combine like terms: 8 + -4 = 4 -6k = 4 Divide each side by '-6'. k = -0.6666666667 Simplifying k = -0.6666666667
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