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Simplifying z2 + -6z + 2z = 3 + z2 + -2z Reorder the terms: -6z + 2z + z2 = 3 + z2 + -2z Combine like terms: -6z + 2z = -4z -4z + z2 = 3 + z2 + -2z Reorder the terms: -4z + z2 = 3 + -2z + z2 Add '-1z2' to each side of the equation. -4z + z2 + -1z2 = 3 + -2z + z2 + -1z2 Combine like terms: z2 + -1z2 = 0 -4z + 0 = 3 + -2z + z2 + -1z2 -4z = 3 + -2z + z2 + -1z2 Combine like terms: z2 + -1z2 = 0 -4z = 3 + -2z + 0 -4z = 3 + -2z Solving -4z = 3 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -4z + 2z = 3 + -2z + 2z Combine like terms: -4z + 2z = -2z -2z = 3 + -2z + 2z Combine like terms: -2z + 2z = 0 -2z = 3 + 0 -2z = 3 Divide each side by '-2'. z = -1.5 Simplifying z = -1.5
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