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Simplifying 8(e + -1) = 5(e + 2) Reorder the terms: 8(-1 + e) = 5(e + 2) (-1 * 8 + e * 8) = 5(e + 2) (-8 + 8e) = 5(e + 2) Reorder the terms: -8 + 8e = 5(2 + e) -8 + 8e = (2 * 5 + e * 5) -8 + 8e = (10 + 5e) Solving -8 + 8e = 10 + 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 + 8e + -5e = 10 + 5e + -5e Combine like terms: 8e + -5e = 3e -8 + 3e = 10 + 5e + -5e Combine like terms: 5e + -5e = 0 -8 + 3e = 10 + 0 -8 + 3e = 10 Add '8' to each side of the equation. -8 + 8 + 3e = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3e = 10 + 8 3e = 10 + 8 Combine like terms: 10 + 8 = 18 3e = 18 Divide each side by '3'. e = 6 Simplifying e = 6
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