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Simplifying 10k + -50 = 6k + -100 Reorder the terms: -50 + 10k = 6k + -100 Reorder the terms: -50 + 10k = -100 + 6k Solving -50 + 10k = -100 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -50 + 10k + -6k = -100 + 6k + -6k Combine like terms: 10k + -6k = 4k -50 + 4k = -100 + 6k + -6k Combine like terms: 6k + -6k = 0 -50 + 4k = -100 + 0 -50 + 4k = -100 Add '50' to each side of the equation. -50 + 50 + 4k = -100 + 50 Combine like terms: -50 + 50 = 0 0 + 4k = -100 + 50 4k = -100 + 50 Combine like terms: -100 + 50 = -50 4k = -50 Divide each side by '4'. k = -12.5 Simplifying k = -12.5
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