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Simplifying 5(2e + -1) = 5e + -2f + 38 Reorder the terms: 5(-1 + 2e) = 5e + -2f + 38 (-1 * 5 + 2e * 5) = 5e + -2f + 38 (-5 + 10e) = 5e + -2f + 38 Reorder the terms: -5 + 10e = 38 + 5e + -2f Solving -5 + 10e = 38 + 5e + -2f 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 + 10e + -5e = 38 + 5e + -5e + -2f Combine like terms: 10e + -5e = 5e -5 + 5e = 38 + 5e + -5e + -2f Combine like terms: 5e + -5e = 0 -5 + 5e = 38 + 0 + -2f -5 + 5e = 38 + -2f Add '5' to each side of the equation. -5 + 5 + 5e = 38 + 5 + -2f Combine like terms: -5 + 5 = 0 0 + 5e = 38 + 5 + -2f 5e = 38 + 5 + -2f Combine like terms: 38 + 5 = 43 5e = 43 + -2f Divide each side by '5'. e = 8.6 + -0.4f Simplifying e = 8.6 + -0.4f
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