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Simplifying 2e + -8 + 6e + -12 = e + -10 + 9e + -13 Reorder the terms: -8 + -12 + 2e + 6e = e + -10 + 9e + -13 Combine like terms: -8 + -12 = -20 -20 + 2e + 6e = e + -10 + 9e + -13 Combine like terms: 2e + 6e = 8e -20 + 8e = e + -10 + 9e + -13 Reorder the terms: -20 + 8e = -10 + -13 + e + 9e Combine like terms: -10 + -13 = -23 -20 + 8e = -23 + e + 9e Combine like terms: e + 9e = 10e -20 + 8e = -23 + 10e Solving -20 + 8e = -23 + 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. -20 + 8e + -10e = -23 + 10e + -10e Combine like terms: 8e + -10e = -2e -20 + -2e = -23 + 10e + -10e Combine like terms: 10e + -10e = 0 -20 + -2e = -23 + 0 -20 + -2e = -23 Add '20' to each side of the equation. -20 + 20 + -2e = -23 + 20 Combine like terms: -20 + 20 = 0 0 + -2e = -23 + 20 -2e = -23 + 20 Combine like terms: -23 + 20 = -3 -2e = -3 Divide each side by '-2'. e = 1.5 Simplifying e = 1.5
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