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Simplifying 6(3 + -2e) = 2(5 + -2e) (3 * 6 + -2e * 6) = 2(5 + -2e) (18 + -12e) = 2(5 + -2e) 18 + -12e = (5 * 2 + -2e * 2) 18 + -12e = (10 + -4e) Solving 18 + -12e = 10 + -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. 18 + -12e + 4e = 10 + -4e + 4e Combine like terms: -12e + 4e = -8e 18 + -8e = 10 + -4e + 4e Combine like terms: -4e + 4e = 0 18 + -8e = 10 + 0 18 + -8e = 10 Add '-18' to each side of the equation. 18 + -18 + -8e = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -8e = 10 + -18 -8e = 10 + -18 Combine like terms: 10 + -18 = -8 -8e = -8 Divide each side by '-8'. e = 1 Simplifying e = 1
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