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Simplifying 10 + 10k = 4k + -10 + -10 Reorder the terms: 10 + 10k = -10 + -10 + 4k Combine like terms: -10 + -10 = -20 10 + 10k = -20 + 4k Solving 10 + 10k = -20 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 10 + 10k + -4k = -20 + 4k + -4k Combine like terms: 10k + -4k = 6k 10 + 6k = -20 + 4k + -4k Combine like terms: 4k + -4k = 0 10 + 6k = -20 + 0 10 + 6k = -20 Add '-10' to each side of the equation. 10 + -10 + 6k = -20 + -10 Combine like terms: 10 + -10 = 0 0 + 6k = -20 + -10 6k = -20 + -10 Combine like terms: -20 + -10 = -30 6k = -30 Divide each side by '6'. k = -5 Simplifying k = -5
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