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Simplifying 4(3e + -2) = 5(e + 4) Reorder the terms: 4(-2 + 3e) = 5(e + 4) (-2 * 4 + 3e * 4) = 5(e + 4) (-8 + 12e) = 5(e + 4) Reorder the terms: -8 + 12e = 5(4 + e) -8 + 12e = (4 * 5 + e * 5) -8 + 12e = (20 + 5e) Solving -8 + 12e = 20 + 5e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5e' to each side of the equation. -8 + 12e + -5e = 20 + 5e + -5e Combine like terms: 12e + -5e = 7e -8 + 7e = 20 + 5e + -5e Combine like terms: 5e + -5e = 0 -8 + 7e = 20 + 0 -8 + 7e = 20 Add '8' to each side of the equation. -8 + 8 + 7e = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 7e = 20 + 8 7e = 20 + 8 Combine like terms: 20 + 8 = 28 7e = 28 Divide each side by '7'. e = 4 Simplifying e = 4
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