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Simplifying 3 = x2 + 4x + k Reorder the terms: 3 = k + 4x + x2 Solving 3 = k + 4x + x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 3 + -1k = k + 4x + -1k + x2 Reorder the terms: 3 + -1k = k + -1k + 4x + x2 Combine like terms: k + -1k = 0 3 + -1k = 0 + 4x + x2 3 + -1k = 4x + x2 Add '-3' to each side of the equation. 3 + -3 + -1k = 4x + -3 + x2 Combine like terms: 3 + -3 = 0 0 + -1k = 4x + -3 + x2 -1k = 4x + -3 + x2 Reorder the terms: -1k = -3 + 4x + x2 Divide each side by '-1'. k = 3 + -4x + -1x2 Simplifying k = 3 + -4x + -1x2
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