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Simplifying 3z(z + -2) + -1z = 3z2 + 4 Reorder the terms: 3z(-2 + z) + -1z = 3z2 + 4 (-2 * 3z + z * 3z) + -1z = 3z2 + 4 (-6z + 3z2) + -1z = 3z2 + 4 Reorder the terms: -6z + -1z + 3z2 = 3z2 + 4 Combine like terms: -6z + -1z = -7z -7z + 3z2 = 3z2 + 4 Reorder the terms: -7z + 3z2 = 4 + 3z2 Add '-3z2' to each side of the equation. -7z + 3z2 + -3z2 = 4 + 3z2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 -7z + 0 = 4 + 3z2 + -3z2 -7z = 4 + 3z2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 -7z = 4 + 0 -7z = 4 Solving -7z = 4 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '-7'. z = -0.5714285714 Simplifying z = -0.5714285714
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