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Simplifying -2(e + -7) = 3(2e + 6) Reorder the terms: -2(-7 + e) = 3(2e + 6) (-7 * -2 + e * -2) = 3(2e + 6) (14 + -2e) = 3(2e + 6) Reorder the terms: 14 + -2e = 3(6 + 2e) 14 + -2e = (6 * 3 + 2e * 3) 14 + -2e = (18 + 6e) Solving 14 + -2e = 18 + 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. 14 + -2e + -6e = 18 + 6e + -6e Combine like terms: -2e + -6e = -8e 14 + -8e = 18 + 6e + -6e Combine like terms: 6e + -6e = 0 14 + -8e = 18 + 0 14 + -8e = 18 Add '-14' to each side of the equation. 14 + -14 + -8e = 18 + -14 Combine like terms: 14 + -14 = 0 0 + -8e = 18 + -14 -8e = 18 + -14 Combine like terms: 18 + -14 = 4 -8e = 4 Divide each side by '-8'. e = -0.5 Simplifying e = -0.5
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