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Simplifying 3(e + 1) = 2(e + -5) Reorder the terms: 3(1 + e) = 2(e + -5) (1 * 3 + e * 3) = 2(e + -5) (3 + 3e) = 2(e + -5) Reorder the terms: 3 + 3e = 2(-5 + e) 3 + 3e = (-5 * 2 + e * 2) 3 + 3e = (-10 + 2e) Solving 3 + 3e = -10 + 2e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2e' to each side of the equation. 3 + 3e + -2e = -10 + 2e + -2e Combine like terms: 3e + -2e = 1e 3 + 1e = -10 + 2e + -2e Combine like terms: 2e + -2e = 0 3 + 1e = -10 + 0 3 + 1e = -10 Add '-3' to each side of the equation. 3 + -3 + 1e = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 1e = -10 + -3 1e = -10 + -3 Combine like terms: -10 + -3 = -13 1e = -13 Divide each side by '1'. e = -13 Simplifying e = -13
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