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Simplifying z + 5e + 3z + 13 + -8 + -2e = 0 Reorder the terms: 13 + -8 + 5e + -2e + z + 3z = 0 Combine like terms: 13 + -8 = 5 5 + 5e + -2e + z + 3z = 0 Combine like terms: 5e + -2e = 3e 5 + 3e + z + 3z = 0 Combine like terms: z + 3z = 4z 5 + 3e + 4z = 0 Solving 5 + 3e + 4z = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3e + -5 + 4z = 0 + -5 Reorder the terms: 5 + -5 + 3e + 4z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3e + 4z = 0 + -5 3e + 4z = 0 + -5 Combine like terms: 0 + -5 = -5 3e + 4z = -5 Add '-4z' to each side of the equation. 3e + 4z + -4z = -5 + -4z Combine like terms: 4z + -4z = 0 3e + 0 = -5 + -4z 3e = -5 + -4z Divide each side by '3'. e = -1.666666667 + -1.333333333z Simplifying e = -1.666666667 + -1.333333333z
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