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Simplifying 1.25e + 0.5 = 2e + -0.5 Reorder the terms: 0.5 + 1.25e = 2e + -0.5 Reorder the terms: 0.5 + 1.25e = -0.5 + 2e Solving 0.5 + 1.25e = -0.5 + 2e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2e' to each side of the equation. 0.5 + 1.25e + -2e = -0.5 + 2e + -2e Combine like terms: 1.25e + -2e = -0.75e 0.5 + -0.75e = -0.5 + 2e + -2e Combine like terms: 2e + -2e = 0 0.5 + -0.75e = -0.5 + 0 0.5 + -0.75e = -0.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.75e = -0.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.75e = -0.5 + -0.5 -0.75e = -0.5 + -0.5 Combine like terms: -0.5 + -0.5 = -1 -0.75e = -1 Divide each side by '-0.75'. e = 1.333333333 Simplifying e = 1.333333333
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