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Simplifying 5(3e + -1) + -2(8 + -1e) = 0 Reorder the terms: 5(-1 + 3e) + -2(8 + -1e) = 0 (-1 * 5 + 3e * 5) + -2(8 + -1e) = 0 (-5 + 15e) + -2(8 + -1e) = 0 -5 + 15e + (8 * -2 + -1e * -2) = 0 -5 + 15e + (-16 + 2e) = 0 Reorder the terms: -5 + -16 + 15e + 2e = 0 Combine like terms: -5 + -16 = -21 -21 + 15e + 2e = 0 Combine like terms: 15e + 2e = 17e -21 + 17e = 0 Solving -21 + 17e = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 17e = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 17e = 0 + 21 17e = 0 + 21 Combine like terms: 0 + 21 = 21 17e = 21 Divide each side by '17'. e = 1.235294118 Simplifying e = 1.235294118
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