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Simplifying 4e + -5t + 3e + 7t + -1e = 0 Reorder the terms: 4e + 3e + -1e + -5t + 7t = 0 Combine like terms: 4e + 3e = 7e 7e + -1e + -5t + 7t = 0 Combine like terms: 7e + -1e = 6e 6e + -5t + 7t = 0 Combine like terms: -5t + 7t = 2t 6e + 2t = 0 Solving 6e + 2t = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2t' to each side of the equation. 6e + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 6e + 0 = 0 + -2t 6e = 0 + -2t Remove the zero: 6e = -2t Divide each side by '6'. e = -0.3333333333t Simplifying e = -0.3333333333t
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