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Simplifying 5.08t + 16e + 12.7t + -14.3e = 0 Reorder the terms: 16e + -14.3e + 5.08t + 12.7t = 0 Combine like terms: 16e + -14.3e = 1.7e 1.7e + 5.08t + 12.7t = 0 Combine like terms: 5.08t + 12.7t = 17.78t 1.7e + 17.78t = 0 Solving 1.7e + 17.78t = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-17.78t' to each side of the equation. 1.7e + 17.78t + -17.78t = 0 + -17.78t Combine like terms: 17.78t + -17.78t = 0.00 1.7e + 0.00 = 0 + -17.78t 1.7e = 0 + -17.78t Remove the zero: 1.7e = -17.78t Divide each side by '1.7'. e = -10.45882353t Simplifying e = -10.45882353t
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