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Simplifying 5e + 13 = 7 + -1e Reorder the terms: 13 + 5e = 7 + -1e Solving 13 + 5e = 7 + -1e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add 'e' to each side of the equation. 13 + 5e + e = 7 + -1e + e Combine like terms: 5e + e = 6e 13 + 6e = 7 + -1e + e Combine like terms: -1e + e = 0 13 + 6e = 7 + 0 13 + 6e = 7 Add '-13' to each side of the equation. 13 + -13 + 6e = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 6e = 7 + -13 6e = 7 + -13 Combine like terms: 7 + -13 = -6 6e = -6 Divide each side by '6'. e = -1 Simplifying e = -1
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