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Simplifying 4 + 5k = 10 + 3k Solving 4 + 5k = 10 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 4 + 5k + -3k = 10 + 3k + -3k Combine like terms: 5k + -3k = 2k 4 + 2k = 10 + 3k + -3k Combine like terms: 3k + -3k = 0 4 + 2k = 10 + 0 4 + 2k = 10 Add '-4' to each side of the equation. 4 + -4 + 2k = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 10 + -4 2k = 10 + -4 Combine like terms: 10 + -4 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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