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Simplifying 4 + 3e + -9 = 5e + 2 Reorder the terms: 4 + -9 + 3e = 5e + 2 Combine like terms: 4 + -9 = -5 -5 + 3e = 5e + 2 Reorder the terms: -5 + 3e = 2 + 5e Solving -5 + 3e = 2 + 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. -5 + 3e + -5e = 2 + 5e + -5e Combine like terms: 3e + -5e = -2e -5 + -2e = 2 + 5e + -5e Combine like terms: 5e + -5e = 0 -5 + -2e = 2 + 0 -5 + -2e = 2 Add '5' to each side of the equation. -5 + 5 + -2e = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -2e = 2 + 5 -2e = 2 + 5 Combine like terms: 2 + 5 = 7 -2e = 7 Divide each side by '-2'. e = -3.5 Simplifying e = -3.5
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