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Simplifying 2k + 4e + 1 = 0 Reorder the terms: 1 + 4e + 2k = 0 Solving 1 + 4e + 2k = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4e + -1 + 2k = 0 + -1 Reorder the terms: 1 + -1 + 4e + 2k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4e + 2k = 0 + -1 4e + 2k = 0 + -1 Combine like terms: 0 + -1 = -1 4e + 2k = -1 Add '-2k' to each side of the equation. 4e + 2k + -2k = -1 + -2k Combine like terms: 2k + -2k = 0 4e + 0 = -1 + -2k 4e = -1 + -2k Divide each side by '4'. e = -0.25 + -0.5k Simplifying e = -0.25 + -0.5k
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