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Simplifying 2 + 3e + -2z = 7 Solving 2 + 3e + -2z = 7 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3e + -2 + -2z = 7 + -2 Reorder the terms: 2 + -2 + 3e + -2z = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 3e + -2z = 7 + -2 3e + -2z = 7 + -2 Combine like terms: 7 + -2 = 5 3e + -2z = 5 Add '2z' to each side of the equation. 3e + -2z + 2z = 5 + 2z Combine like terms: -2z + 2z = 0 3e + 0 = 5 + 2z 3e = 5 + 2z Divide each side by '3'. e = 1.666666667 + 0.6666666667z Simplifying e = 1.666666667 + 0.6666666667z
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