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Simplifying 5 + 7(2 + -1e) = 3(e + 3) 5 + (2 * 7 + -1e * 7) = 3(e + 3) 5 + (14 + -7e) = 3(e + 3) Combine like terms: 5 + 14 = 19 19 + -7e = 3(e + 3) Reorder the terms: 19 + -7e = 3(3 + e) 19 + -7e = (3 * 3 + e * 3) 19 + -7e = (9 + 3e) Solving 19 + -7e = 9 + 3e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3e' to each side of the equation. 19 + -7e + -3e = 9 + 3e + -3e Combine like terms: -7e + -3e = -10e 19 + -10e = 9 + 3e + -3e Combine like terms: 3e + -3e = 0 19 + -10e = 9 + 0 19 + -10e = 9 Add '-19' to each side of the equation. 19 + -19 + -10e = 9 + -19 Combine like terms: 19 + -19 = 0 0 + -10e = 9 + -19 -10e = 9 + -19 Combine like terms: 9 + -19 = -10 -10e = -10 Divide each side by '-10'. e = 1 Simplifying e = 1
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