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