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Simplifying 4(2e + -3) = 2(3e + 1) Reorder the terms: 4(-3 + 2e) = 2(3e + 1) (-3 * 4 + 2e * 4) = 2(3e + 1) (-12 + 8e) = 2(3e + 1) Reorder the terms: -12 + 8e = 2(1 + 3e) -12 + 8e = (1 * 2 + 3e * 2) -12 + 8e = (2 + 6e) Solving -12 + 8e = 2 + 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. -12 + 8e + -6e = 2 + 6e + -6e Combine like terms: 8e + -6e = 2e -12 + 2e = 2 + 6e + -6e Combine like terms: 6e + -6e = 0 -12 + 2e = 2 + 0 -12 + 2e = 2 Add '12' to each side of the equation. -12 + 12 + 2e = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2e = 2 + 12 2e = 2 + 12 Combine like terms: 2 + 12 = 14 2e = 14 Divide each side by '2'. e = 7 Simplifying e = 7
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