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Simplifying z4 + -4z3 + -2z2 + Z + 6 = 0 Reorder the terms: 6 + Z + -2z2 + -4z3 + z4 = 0 Solving 6 + Z + -2z2 + -4z3 + z4 = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + Z + -2z2 + -4z3 + -6 + z4 = 0 + -6 Reorder the terms: 6 + -6 + Z + -2z2 + -4z3 + z4 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + Z + -2z2 + -4z3 + z4 = 0 + -6 Z + -2z2 + -4z3 + z4 = 0 + -6 Combine like terms: 0 + -6 = -6 Z + -2z2 + -4z3 + z4 = -6 Add '2z2' to each side of the equation. Z + -2z2 + -4z3 + 2z2 + z4 = -6 + 2z2 Reorder the terms: Z + -2z2 + 2z2 + -4z3 + z4 = -6 + 2z2 Combine like terms: -2z2 + 2z2 = 0 Z + 0 + -4z3 + z4 = -6 + 2z2 Z + -4z3 + z4 = -6 + 2z2 Add '4z3' to each side of the equation. Z + -4z3 + 4z3 + z4 = -6 + 2z2 + 4z3 Combine like terms: -4z3 + 4z3 = 0 Z + 0 + z4 = -6 + 2z2 + 4z3 Z + z4 = -6 + 2z2 + 4z3 Add '-1z4' to each side of the equation. Z + z4 + -1z4 = -6 + 2z2 + 4z3 + -1z4 Combine like terms: z4 + -1z4 = 0 Z + 0 = -6 + 2z2 + 4z3 + -1z4 Z = -6 + 2z2 + 4z3 + -1z4 Simplifying Z = -6 + 2z2 + 4z3 + -1z4
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