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Simplifying -10e + 15 = 5(9e + -16) Reorder the terms: 15 + -10e = 5(9e + -16) Reorder the terms: 15 + -10e = 5(-16 + 9e) 15 + -10e = (-16 * 5 + 9e * 5) 15 + -10e = (-80 + 45e) Solving 15 + -10e = -80 + 45e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-45e' to each side of the equation. 15 + -10e + -45e = -80 + 45e + -45e Combine like terms: -10e + -45e = -55e 15 + -55e = -80 + 45e + -45e Combine like terms: 45e + -45e = 0 15 + -55e = -80 + 0 15 + -55e = -80 Add '-15' to each side of the equation. 15 + -15 + -55e = -80 + -15 Combine like terms: 15 + -15 = 0 0 + -55e = -80 + -15 -55e = -80 + -15 Combine like terms: -80 + -15 = -95 -55e = -95 Divide each side by '-55'. e = 1.727272727 Simplifying e = 1.727272727
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