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Simplifying 10 + 2k = 8k + 4 Reorder the terms: 10 + 2k = 4 + 8k Solving 10 + 2k = 4 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 10 + 2k + -8k = 4 + 8k + -8k Combine like terms: 2k + -8k = -6k 10 + -6k = 4 + 8k + -8k Combine like terms: 8k + -8k = 0 10 + -6k = 4 + 0 10 + -6k = 4 Add '-10' to each side of the equation. 10 + -10 + -6k = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -6k = 4 + -10 -6k = 4 + -10 Combine like terms: 4 + -10 = -6 -6k = -6 Divide each side by '-6'. k = 1 Simplifying k = 1
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