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Simplifying 7k + 4 = 10k + -20 Reorder the terms: 4 + 7k = 10k + -20 Reorder the terms: 4 + 7k = -20 + 10k Solving 4 + 7k = -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. 4 + 7k + -10k = -20 + 10k + -10k Combine like terms: 7k + -10k = -3k 4 + -3k = -20 + 10k + -10k Combine like terms: 10k + -10k = 0 4 + -3k = -20 + 0 4 + -3k = -20 Add '-4' to each side of the equation. 4 + -4 + -3k = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = -20 + -4 -3k = -20 + -4 Combine like terms: -20 + -4 = -24 -3k = -24 Divide each side by '-3'. k = 8 Simplifying k = 8
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