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Simplifying 10e + 12 + -3e + -5 = 20e + -14 + -8e + -9 Reorder the terms: 12 + -5 + 10e + -3e = 20e + -14 + -8e + -9 Combine like terms: 12 + -5 = 7 7 + 10e + -3e = 20e + -14 + -8e + -9 Combine like terms: 10e + -3e = 7e 7 + 7e = 20e + -14 + -8e + -9 Reorder the terms: 7 + 7e = -14 + -9 + 20e + -8e Combine like terms: -14 + -9 = -23 7 + 7e = -23 + 20e + -8e Combine like terms: 20e + -8e = 12e 7 + 7e = -23 + 12e Solving 7 + 7e = -23 + 12e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12e' to each side of the equation. 7 + 7e + -12e = -23 + 12e + -12e Combine like terms: 7e + -12e = -5e 7 + -5e = -23 + 12e + -12e Combine like terms: 12e + -12e = 0 7 + -5e = -23 + 0 7 + -5e = -23 Add '-7' to each side of the equation. 7 + -7 + -5e = -23 + -7 Combine like terms: 7 + -7 = 0 0 + -5e = -23 + -7 -5e = -23 + -7 Combine like terms: -23 + -7 = -30 -5e = -30 Divide each side by '-5'. e = 6 Simplifying e = 6
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