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Simplifying e + -7 = 6e + -12 Reorder the terms: -7 + e = 6e + -12 Reorder the terms: -7 + e = -12 + 6e Solving -7 + e = -12 + 6e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6e' to each side of the equation. -7 + e + -6e = -12 + 6e + -6e Combine like terms: e + -6e = -5e -7 + -5e = -12 + 6e + -6e Combine like terms: 6e + -6e = 0 -7 + -5e = -12 + 0 -7 + -5e = -12 Add '7' to each side of the equation. -7 + 7 + -5e = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -5e = -12 + 7 -5e = -12 + 7 Combine like terms: -12 + 7 = -5 -5e = -5 Divide each side by '-5'. e = 1 Simplifying e = 1
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