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Simplifying 5(e + 1) = 3(2e + -1) Reorder the terms: 5(1 + e) = 3(2e + -1) (1 * 5 + e * 5) = 3(2e + -1) (5 + 5e) = 3(2e + -1) Reorder the terms: 5 + 5e = 3(-1 + 2e) 5 + 5e = (-1 * 3 + 2e * 3) 5 + 5e = (-3 + 6e) Solving 5 + 5e = -3 + 6e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6e' to each side of the equation. 5 + 5e + -6e = -3 + 6e + -6e Combine like terms: 5e + -6e = -1e 5 + -1e = -3 + 6e + -6e Combine like terms: 6e + -6e = 0 5 + -1e = -3 + 0 5 + -1e = -3 Add '-5' to each side of the equation. 5 + -5 + -1e = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -1e = -3 + -5 -1e = -3 + -5 Combine like terms: -3 + -5 = -8 -1e = -8 Divide each side by '-1'. e = 8 Simplifying e = 8
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