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Simplifying 3(4e + 6) = 3e + -9 Reorder the terms: 3(6 + 4e) = 3e + -9 (6 * 3 + 4e * 3) = 3e + -9 (18 + 12e) = 3e + -9 Reorder the terms: 18 + 12e = -9 + 3e Solving 18 + 12e = -9 + 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. 18 + 12e + -3e = -9 + 3e + -3e Combine like terms: 12e + -3e = 9e 18 + 9e = -9 + 3e + -3e Combine like terms: 3e + -3e = 0 18 + 9e = -9 + 0 18 + 9e = -9 Add '-18' to each side of the equation. 18 + -18 + 9e = -9 + -18 Combine like terms: 18 + -18 = 0 0 + 9e = -9 + -18 9e = -9 + -18 Combine like terms: -9 + -18 = -27 9e = -27 Divide each side by '9'. e = -3 Simplifying e = -3
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