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Simplifying e + -2w + 5 = 4 + -3 + 5e Reorder the terms: 5 + e + -2w = 4 + -3 + 5e Combine like terms: 4 + -3 = 1 5 + e + -2w = 1 + 5e Solving 5 + e + -2w = 1 + 5e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5e' to each side of the equation. 5 + e + -5e + -2w = 1 + 5e + -5e Combine like terms: e + -5e = -4e 5 + -4e + -2w = 1 + 5e + -5e Combine like terms: 5e + -5e = 0 5 + -4e + -2w = 1 + 0 5 + -4e + -2w = 1 Add '-5' to each side of the equation. 5 + -4e + -5 + -2w = 1 + -5 Reorder the terms: 5 + -5 + -4e + -2w = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -4e + -2w = 1 + -5 -4e + -2w = 1 + -5 Combine like terms: 1 + -5 = -4 -4e + -2w = -4 Add '2w' to each side of the equation. -4e + -2w + 2w = -4 + 2w Combine like terms: -2w + 2w = 0 -4e + 0 = -4 + 2w -4e = -4 + 2w Divide each side by '-4'. e = 1 + -0.5w Simplifying e = 1 + -0.5w
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