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Simplifying z4 + z3 + 2z2 + 4Z + -8 = 0 Reorder the terms: -8 + 4Z + 2z2 + z3 + z4 = 0 Solving -8 + 4Z + 2z2 + z3 + z4 = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4Z + 2z2 + z3 + 8 + z4 = 0 + 8 Reorder the terms: -8 + 8 + 4Z + 2z2 + z3 + z4 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4Z + 2z2 + z3 + z4 = 0 + 8 4Z + 2z2 + z3 + z4 = 0 + 8 Combine like terms: 0 + 8 = 8 4Z + 2z2 + z3 + z4 = 8 Add '-2z2' to each side of the equation. 4Z + 2z2 + z3 + -2z2 + z4 = 8 + -2z2 Reorder the terms: 4Z + 2z2 + -2z2 + z3 + z4 = 8 + -2z2 Combine like terms: 2z2 + -2z2 = 0 4Z + 0 + z3 + z4 = 8 + -2z2 4Z + z3 + z4 = 8 + -2z2 Add '-1z3' to each side of the equation. 4Z + z3 + -1z3 + z4 = 8 + -2z2 + -1z3 Combine like terms: z3 + -1z3 = 0 4Z + 0 + z4 = 8 + -2z2 + -1z3 4Z + z4 = 8 + -2z2 + -1z3 Add '-1z4' to each side of the equation. 4Z + z4 + -1z4 = 8 + -2z2 + -1z3 + -1z4 Combine like terms: z4 + -1z4 = 0 4Z + 0 = 8 + -2z2 + -1z3 + -1z4 4Z = 8 + -2z2 + -1z3 + -1z4 Divide each side by '4'. Z = 2 + -0.5z2 + -0.25z3 + -0.25z4 Simplifying Z = 2 + -0.5z2 + -0.25z3 + -0.25z4
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