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Simplifying 5e + 1 = 3e + -1(-5) Reorder the terms: 1 + 5e = 3e + -1(-5) Multiply -1 * -5 1 + 5e = 3e + 5 Reorder the terms: 1 + 5e = 5 + 3e Solving 1 + 5e = 5 + 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. 1 + 5e + -3e = 5 + 3e + -3e Combine like terms: 5e + -3e = 2e 1 + 2e = 5 + 3e + -3e Combine like terms: 3e + -3e = 0 1 + 2e = 5 + 0 1 + 2e = 5 Add '-1' to each side of the equation. 1 + -1 + 2e = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2e = 5 + -1 2e = 5 + -1 Combine like terms: 5 + -1 = 4 2e = 4 Divide each side by '2'. e = 2 Simplifying e = 2
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