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Simplifying 15e + (-6 + 5) + -2 + -2(-1e + 3) = -1(-7e + 23) + -1e + (3 + -2e) Combine like terms: -6 + 5 = -1 15e + (-1) + -2 + -2(-1e + 3) = -1(-7e + 23) + -1e + (3 + -2e) 15e + -1 + -2 + -2(-1e + 3) = -1(-7e + 23) + -1e + (3 + -2e) Reorder the terms: 15e + -1 + -2 + -2(3 + -1e) = -1(-7e + 23) + -1e + (3 + -2e) 15e + -1 + -2 + (3 * -2 + -1e * -2) = -1(-7e + 23) + -1e + (3 + -2e) 15e + -1 + -2 + (-6 + 2e) = -1(-7e + 23) + -1e + (3 + -2e) Reorder the terms: -1 + -2 + -6 + 15e + 2e = -1(-7e + 23) + -1e + (3 + -2e) Combine like terms: -1 + -2 = -3 -3 + -6 + 15e + 2e = -1(-7e + 23) + -1e + (3 + -2e) Combine like terms: -3 + -6 = -9 -9 + 15e + 2e = -1(-7e + 23) + -1e + (3 + -2e) Combine like terms: 15e + 2e = 17e -9 + 17e = -1(-7e + 23) + -1e + (3 + -2e) Reorder the terms: -9 + 17e = -1(23 + -7e) + -1e + (3 + -2e) -9 + 17e = (23 * -1 + -7e * -1) + -1e + (3 + -2e) -9 + 17e = (-23 + 7e) + -1e + (3 + -2e) Remove parenthesis around (3 + -2e) -9 + 17e = -23 + 7e + -1e + 3 + -2e Reorder the terms: -9 + 17e = -23 + 3 + 7e + -1e + -2e Combine like terms: -23 + 3 = -20 -9 + 17e = -20 + 7e + -1e + -2e Combine like terms: 7e + -1e = 6e -9 + 17e = -20 + 6e + -2e Combine like terms: 6e + -2e = 4e -9 + 17e = -20 + 4e Solving -9 + 17e = -20 + 4e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4e' to each side of the equation. -9 + 17e + -4e = -20 + 4e + -4e Combine like terms: 17e + -4e = 13e -9 + 13e = -20 + 4e + -4e Combine like terms: 4e + -4e = 0 -9 + 13e = -20 + 0 -9 + 13e = -20 Add '9' to each side of the equation. -9 + 9 + 13e = -20 + 9 Combine like terms: -9 + 9 = 0 0 + 13e = -20 + 9 13e = -20 + 9 Combine like terms: -20 + 9 = -11 13e = -11 Divide each side by '13'. e = -0.8461538462 Simplifying e = -0.8461538462
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