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Simplifying 5 + -4k = 10 + 2k Solving 5 + -4k = 10 + 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 + -4k + -2k = 10 + 2k + -2k Combine like terms: -4k + -2k = -6k 5 + -6k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 5 + -6k = 10 + 0 5 + -6k = 10 Add '-5' to each side of the equation. 5 + -5 + -6k = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -6k = 10 + -5 -6k = 10 + -5 Combine like terms: 10 + -5 = 5 -6k = 5 Divide each side by '-6'. k = -0.8333333333 Simplifying k = -0.8333333333
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