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Simplifying 6e + -7 + -2e = 1 + 5e Reorder the terms: -7 + 6e + -2e = 1 + 5e Combine like terms: 6e + -2e = 4e -7 + 4e = 1 + 5e Solving -7 + 4e = 1 + 5e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5e' to each side of the equation. -7 + 4e + -5e = 1 + 5e + -5e Combine like terms: 4e + -5e = -1e -7 + -1e = 1 + 5e + -5e Combine like terms: 5e + -5e = 0 -7 + -1e = 1 + 0 -7 + -1e = 1 Add '7' to each side of the equation. -7 + 7 + -1e = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -1e = 1 + 7 -1e = 1 + 7 Combine like terms: 1 + 7 = 8 -1e = 8 Divide each side by '-1'. e = -8 Simplifying e = -8
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