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Simplifying 4k + 3 = 2k + 19 Reorder the terms: 3 + 4k = 2k + 19 Reorder the terms: 3 + 4k = 19 + 2k Solving 3 + 4k = 19 + 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 + 4k + -2k = 19 + 2k + -2k Combine like terms: 4k + -2k = 2k 3 + 2k = 19 + 2k + -2k Combine like terms: 2k + -2k = 0 3 + 2k = 19 + 0 3 + 2k = 19 Add '-3' to each side of the equation. 3 + -3 + 2k = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 2k = 19 + -3 2k = 19 + -3 Combine like terms: 19 + -3 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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