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Simplifying 5k + -3 = 2k + 9 Reorder the terms: -3 + 5k = 2k + 9 Reorder the terms: -3 + 5k = 9 + 2k Solving -3 + 5k = 9 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -3 + 5k + -2k = 9 + 2k + -2k Combine like terms: 5k + -2k = 3k -3 + 3k = 9 + 2k + -2k Combine like terms: 2k + -2k = 0 -3 + 3k = 9 + 0 -3 + 3k = 9 Add '3' to each side of the equation. -3 + 3 + 3k = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = 9 + 3 3k = 9 + 3 Combine like terms: 9 + 3 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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