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Simplifying 2z(z + -6) = 2z2 + 10z + -44 Reorder the terms: 2z(-6 + z) = 2z2 + 10z + -44 (-6 * 2z + z * 2z) = 2z2 + 10z + -44 (-12z + 2z2) = 2z2 + 10z + -44 Reorder the terms: -12z + 2z2 = -44 + 10z + 2z2 Add '-2z2' to each side of the equation. -12z + 2z2 + -2z2 = -44 + 10z + 2z2 + -2z2 Combine like terms: 2z2 + -2z2 = 0 -12z + 0 = -44 + 10z + 2z2 + -2z2 -12z = -44 + 10z + 2z2 + -2z2 Combine like terms: 2z2 + -2z2 = 0 -12z = -44 + 10z + 0 -12z = -44 + 10z Solving -12z = -44 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -12z + -10z = -44 + 10z + -10z Combine like terms: -12z + -10z = -22z -22z = -44 + 10z + -10z Combine like terms: 10z + -10z = 0 -22z = -44 + 0 -22z = -44 Divide each side by '-22'. z = 2 Simplifying z = 2
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