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Simplifying 3(1 + 2e) + -5 = -6e + -2 (1 * 3 + 2e * 3) + -5 = -6e + -2 (3 + 6e) + -5 = -6e + -2 Reorder the terms: 3 + -5 + 6e = -6e + -2 Combine like terms: 3 + -5 = -2 -2 + 6e = -6e + -2 Reorder the terms: -2 + 6e = -2 + -6e Add '2' to each side of the equation. -2 + 2 + 6e = -2 + 2 + -6e Combine like terms: -2 + 2 = 0 0 + 6e = -2 + 2 + -6e 6e = -2 + 2 + -6e Combine like terms: -2 + 2 = 0 6e = 0 + -6e 6e = -6e Solving 6e = -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. 6e + 6e = -6e + 6e Combine like terms: 6e + 6e = 12e 12e = -6e + 6e Combine like terms: -6e + 6e = 0 12e = 0 Divide each side by '12'. e = 0 Simplifying e = 0
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