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Simplifying 4k + 10 = 10k + -20 Reorder the terms: 10 + 4k = 10k + -20 Reorder the terms: 10 + 4k = -20 + 10k Solving 10 + 4k = -20 + 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 = -20 + 10k + -10k Combine like terms: 4k + -10k = -6k 10 + -6k = -20 + 10k + -10k Combine like terms: 10k + -10k = 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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