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Simplifying 10 + 4k = 10k + -1 Reorder the terms: 10 + 4k = -1 + 10k Solving 10 + 4k = -1 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 10 + 4k + -10k = -1 + 10k + -10k Combine like terms: 4k + -10k = -6k 10 + -6k = -1 + 10k + -10k Combine like terms: 10k + -10k = 0 10 + -6k = -1 + 0 10 + -6k = -1 Add '-10' to each side of the equation. 10 + -10 + -6k = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -6k = -1 + -10 -6k = -1 + -10 Combine like terms: -1 + -10 = -11 -6k = -11 Divide each side by '-6'. k = 1.833333333 Simplifying k = 1.833333333
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