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Simplifying 2e + -8e + 1 = 9 + -10e Reorder the terms: 1 + 2e + -8e = 9 + -10e Combine like terms: 2e + -8e = -6e 1 + -6e = 9 + -10e Solving 1 + -6e = 9 + -10e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '10e' to each side of the equation. 1 + -6e + 10e = 9 + -10e + 10e Combine like terms: -6e + 10e = 4e 1 + 4e = 9 + -10e + 10e Combine like terms: -10e + 10e = 0 1 + 4e = 9 + 0 1 + 4e = 9 Add '-1' to each side of the equation. 1 + -1 + 4e = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4e = 9 + -1 4e = 9 + -1 Combine like terms: 9 + -1 = 8 4e = 8 Divide each side by '4'. e = 2 Simplifying e = 2
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