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Simplifying 4e + -1f + -9 = -2e + f + -5 Reorder the terms: -9 + 4e + -1f = -2e + f + -5 Reorder the terms: -9 + 4e + -1f = -5 + -2e + f Solving -9 + 4e + -1f = -5 + -2e + f Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2e' to each side of the equation. -9 + 4e + 2e + -1f = -5 + -2e + 2e + f Combine like terms: 4e + 2e = 6e -9 + 6e + -1f = -5 + -2e + 2e + f Combine like terms: -2e + 2e = 0 -9 + 6e + -1f = -5 + 0 + f -9 + 6e + -1f = -5 + f Add '9' to each side of the equation. -9 + 6e + 9 + -1f = -5 + 9 + f Reorder the terms: -9 + 9 + 6e + -1f = -5 + 9 + f Combine like terms: -9 + 9 = 0 0 + 6e + -1f = -5 + 9 + f 6e + -1f = -5 + 9 + f Combine like terms: -5 + 9 = 4 6e + -1f = 4 + f Add 'f' to each side of the equation. 6e + -1f + f = 4 + f + f Combine like terms: -1f + f = 0 6e + 0 = 4 + f + f 6e = 4 + f + f Combine like terms: f + f = 2f 6e = 4 + 2f Divide each side by '6'. e = 0.6666666667 + 0.3333333333f Simplifying e = 0.6666666667 + 0.3333333333f
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