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Simplifying 100 + e + -55 + 2e = 5(2e + -1) Reorder the terms: 100 + -55 + e + 2e = 5(2e + -1) Combine like terms: 100 + -55 = 45 45 + e + 2e = 5(2e + -1) Combine like terms: e + 2e = 3e 45 + 3e = 5(2e + -1) Reorder the terms: 45 + 3e = 5(-1 + 2e) 45 + 3e = (-1 * 5 + 2e * 5) 45 + 3e = (-5 + 10e) Solving 45 + 3e = -5 + 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. 45 + 3e + -10e = -5 + 10e + -10e Combine like terms: 3e + -10e = -7e 45 + -7e = -5 + 10e + -10e Combine like terms: 10e + -10e = 0 45 + -7e = -5 + 0 45 + -7e = -5 Add '-45' to each side of the equation. 45 + -45 + -7e = -5 + -45 Combine like terms: 45 + -45 = 0 0 + -7e = -5 + -45 -7e = -5 + -45 Combine like terms: -5 + -45 = -50 -7e = -50 Divide each side by '-7'. e = 7.142857143 Simplifying e = 7.142857143
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