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Simplifying 5(3e + 4) + -8e = -5e + -4 Reorder the terms: 5(4 + 3e) + -8e = -5e + -4 (4 * 5 + 3e * 5) + -8e = -5e + -4 (20 + 15e) + -8e = -5e + -4 Combine like terms: 15e + -8e = 7e 20 + 7e = -5e + -4 Reorder the terms: 20 + 7e = -4 + -5e Solving 20 + 7e = -4 + -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. 20 + 7e + 5e = -4 + -5e + 5e Combine like terms: 7e + 5e = 12e 20 + 12e = -4 + -5e + 5e Combine like terms: -5e + 5e = 0 20 + 12e = -4 + 0 20 + 12e = -4 Add '-20' to each side of the equation. 20 + -20 + 12e = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 12e = -4 + -20 12e = -4 + -20 Combine like terms: -4 + -20 = -24 12e = -24 Divide each side by '12'. e = -2 Simplifying e = -2
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