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Simplifying 5k + -10 + 8 = 3k + 4 Reorder the terms: -10 + 8 + 5k = 3k + 4 Combine like terms: -10 + 8 = -2 -2 + 5k = 3k + 4 Reorder the terms: -2 + 5k = 4 + 3k Solving -2 + 5k = 4 + 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. -2 + 5k + -3k = 4 + 3k + -3k Combine like terms: 5k + -3k = 2k -2 + 2k = 4 + 3k + -3k Combine like terms: 3k + -3k = 0 -2 + 2k = 4 + 0 -2 + 2k = 4 Add '2' to each side of the equation. -2 + 2 + 2k = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2k = 4 + 2 2k = 4 + 2 Combine like terms: 4 + 2 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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