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Simplifying 15e + (-6e + 5) + -2 + -1(-1e + 3) = -1(7e + 23) + -1e + (3 + -2e) Reorder the terms: 15e + (5 + -6e) + -2 + -1(-1e + 3) = -1(7e + 23) + -1e + (3 + -2e) Remove parenthesis around (5 + -6e) 15e + 5 + -6e + -2 + -1(-1e + 3) = -1(7e + 23) + -1e + (3 + -2e) Reorder the terms: 15e + 5 + -6e + -2 + -1(3 + -1e) = -1(7e + 23) + -1e + (3 + -2e) 15e + 5 + -6e + -2 + (3 * -1 + -1e * -1) = -1(7e + 23) + -1e + (3 + -2e) 15e + 5 + -6e + -2 + (-3 + 1e) = -1(7e + 23) + -1e + (3 + -2e) Reorder the terms: 5 + -2 + -3 + 15e + -6e + 1e = -1(7e + 23) + -1e + (3 + -2e) Combine like terms: 5 + -2 = 3 3 + -3 + 15e + -6e + 1e = -1(7e + 23) + -1e + (3 + -2e) Combine like terms: 3 + -3 = 0 0 + 15e + -6e + 1e = -1(7e + 23) + -1e + (3 + -2e) 15e + -6e + 1e = -1(7e + 23) + -1e + (3 + -2e) Combine like terms: 15e + -6e = 9e 9e + 1e = -1(7e + 23) + -1e + (3 + -2e) Combine like terms: 9e + 1e = 10e 10e = -1(7e + 23) + -1e + (3 + -2e) Reorder the terms: 10e = -1(23 + 7e) + -1e + (3 + -2e) 10e = (23 * -1 + 7e * -1) + -1e + (3 + -2e) 10e = (-23 + -7e) + -1e + (3 + -2e) Remove parenthesis around (3 + -2e) 10e = -23 + -7e + -1e + 3 + -2e Reorder the terms: 10e = -23 + 3 + -7e + -1e + -2e Combine like terms: -23 + 3 = -20 10e = -20 + -7e + -1e + -2e Combine like terms: -7e + -1e = -8e 10e = -20 + -8e + -2e Combine like terms: -8e + -2e = -10e 10e = -20 + -10e Solving 10e = -20 + -10e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '10e' to each side of the equation. 10e + 10e = -20 + -10e + 10e Combine like terms: 10e + 10e = 20e 20e = -20 + -10e + 10e Combine like terms: -10e + 10e = 0 20e = -20 + 0 20e = -20 Divide each side by '20'. e = -1 Simplifying e = -1
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