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