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Simplifying 10 + 4k + -5 = 10k + 1 Reorder the terms: 10 + -5 + 4k = 10k + 1 Combine like terms: 10 + -5 = 5 5 + 4k = 10k + 1 Reorder the terms: 5 + 4k = 1 + 10k Solving 5 + 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. 5 + 4k + -10k = 1 + 10k + -10k Combine like terms: 4k + -10k = -6k 5 + -6k = 1 + 10k + -10k Combine like terms: 10k + -10k = 0 5 + -6k = 1 + 0 5 + -6k = 1 Add '-5' to each side of the equation. 5 + -5 + -6k = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -6k = 1 + -5 -6k = 1 + -5 Combine like terms: 1 + -5 = -4 -6k = -4 Divide each side by '-6'. k = 0.6666666667 Simplifying k = 0.6666666667
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