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Simplifying 2e + 5 = 3e + -2 Reorder the terms: 5 + 2e = 3e + -2 Reorder the terms: 5 + 2e = -2 + 3e Solving 5 + 2e = -2 + 3e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3e' to each side of the equation. 5 + 2e + -3e = -2 + 3e + -3e Combine like terms: 2e + -3e = -1e 5 + -1e = -2 + 3e + -3e Combine like terms: 3e + -3e = 0 5 + -1e = -2 + 0 5 + -1e = -2 Add '-5' to each side of the equation. 5 + -5 + -1e = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1e = -2 + -5 -1e = -2 + -5 Combine like terms: -2 + -5 = -7 -1e = -7 Divide each side by '-1'. e = 7 Simplifying e = 7
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