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Simplifying 3(2e + -1) = (e + 2) + 38 Reorder the terms: 3(-1 + 2e) = (e + 2) + 38 (-1 * 3 + 2e * 3) = (e + 2) + 38 (-3 + 6e) = (e + 2) + 38 Reorder the terms: -3 + 6e = (2 + e) + 38 Remove parenthesis around (2 + e) -3 + 6e = 2 + e + 38 Reorder the terms: -3 + 6e = 2 + 38 + e Combine like terms: 2 + 38 = 40 -3 + 6e = 40 + e Solving -3 + 6e = 40 + e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1e' to each side of the equation. -3 + 6e + -1e = 40 + e + -1e Combine like terms: 6e + -1e = 5e -3 + 5e = 40 + e + -1e Combine like terms: e + -1e = 0 -3 + 5e = 40 + 0 -3 + 5e = 40 Add '3' to each side of the equation. -3 + 3 + 5e = 40 + 3 Combine like terms: -3 + 3 = 0 0 + 5e = 40 + 3 5e = 40 + 3 Combine like terms: 40 + 3 = 43 5e = 43 Divide each side by '5'. e = 8.6 Simplifying e = 8.6
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