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Simplifying 7(4 + -2e) + -1(3 + e) = 0 (4 * 7 + -2e * 7) + -1(3 + e) = 0 (28 + -14e) + -1(3 + e) = 0 28 + -14e + (3 * -1 + e * -1) = 0 28 + -14e + (-3 + -1e) = 0 Reorder the terms: 28 + -3 + -14e + -1e = 0 Combine like terms: 28 + -3 = 25 25 + -14e + -1e = 0 Combine like terms: -14e + -1e = -15e 25 + -15e = 0 Solving 25 + -15e = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -15e = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -15e = 0 + -25 -15e = 0 + -25 Combine like terms: 0 + -25 = -25 -15e = -25 Divide each side by '-15'. e = 1.666666667 Simplifying e = 1.666666667
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