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Simplifying 2(6 + -3e) = 8 + -4e (6 * 2 + -3e * 2) = 8 + -4e (12 + -6e) = 8 + -4e Solving 12 + -6e = 8 + -4e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '4e' to each side of the equation. 12 + -6e + 4e = 8 + -4e + 4e Combine like terms: -6e + 4e = -2e 12 + -2e = 8 + -4e + 4e Combine like terms: -4e + 4e = 0 12 + -2e = 8 + 0 12 + -2e = 8 Add '-12' to each side of the equation. 12 + -12 + -2e = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -2e = 8 + -12 -2e = 8 + -12 Combine like terms: 8 + -12 = -4 -2e = -4 Divide each side by '-2'. e = 2 Simplifying e = 2
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