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Simplifying 4z(z + -5) = 4z2 + -9z + 11 Reorder the terms: 4z(-5 + z) = 4z2 + -9z + 11 (-5 * 4z + z * 4z) = 4z2 + -9z + 11 (-20z + 4z2) = 4z2 + -9z + 11 Reorder the terms: -20z + 4z2 = 11 + -9z + 4z2 Add '-4z2' to each side of the equation. -20z + 4z2 + -4z2 = 11 + -9z + 4z2 + -4z2 Combine like terms: 4z2 + -4z2 = 0 -20z + 0 = 11 + -9z + 4z2 + -4z2 -20z = 11 + -9z + 4z2 + -4z2 Combine like terms: 4z2 + -4z2 = 0 -20z = 11 + -9z + 0 -20z = 11 + -9z Solving -20z = 11 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -20z + 9z = 11 + -9z + 9z Combine like terms: -20z + 9z = -11z -11z = 11 + -9z + 9z Combine like terms: -9z + 9z = 0 -11z = 11 + 0 -11z = 11 Divide each side by '-11'. z = -1 Simplifying z = -1
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