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Simplifying 6(4e + -3) = 3(2e + 3) Reorder the terms: 6(-3 + 4e) = 3(2e + 3) (-3 * 6 + 4e * 6) = 3(2e + 3) (-18 + 24e) = 3(2e + 3) Reorder the terms: -18 + 24e = 3(3 + 2e) -18 + 24e = (3 * 3 + 2e * 3) -18 + 24e = (9 + 6e) Solving -18 + 24e = 9 + 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. -18 + 24e + -6e = 9 + 6e + -6e Combine like terms: 24e + -6e = 18e -18 + 18e = 9 + 6e + -6e Combine like terms: 6e + -6e = 0 -18 + 18e = 9 + 0 -18 + 18e = 9 Add '18' to each side of the equation. -18 + 18 + 18e = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 18e = 9 + 18 18e = 9 + 18 Combine like terms: 9 + 18 = 27 18e = 27 Divide each side by '18'. e = 1.5 Simplifying e = 1.5
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