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Simplifying (2z + -6)(z + 2) = 2z2 + -38 Reorder the terms: (-6 + 2z)(z + 2) = 2z2 + -38 Reorder the terms: (-6 + 2z)(2 + z) = 2z2 + -38 Multiply (-6 + 2z) * (2 + z) (-6(2 + z) + 2z * (2 + z)) = 2z2 + -38 ((2 * -6 + z * -6) + 2z * (2 + z)) = 2z2 + -38 ((-12 + -6z) + 2z * (2 + z)) = 2z2 + -38 (-12 + -6z + (2 * 2z + z * 2z)) = 2z2 + -38 (-12 + -6z + (4z + 2z2)) = 2z2 + -38 Combine like terms: -6z + 4z = -2z (-12 + -2z + 2z2) = 2z2 + -38 Reorder the terms: -12 + -2z + 2z2 = -38 + 2z2 Add '-2z2' to each side of the equation. -12 + -2z + 2z2 + -2z2 = -38 + 2z2 + -2z2 Combine like terms: 2z2 + -2z2 = 0 -12 + -2z + 0 = -38 + 2z2 + -2z2 -12 + -2z = -38 + 2z2 + -2z2 Combine like terms: 2z2 + -2z2 = 0 -12 + -2z = -38 + 0 -12 + -2z = -38 Solving -12 + -2z = -38 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -2z = -38 + 12 Combine like terms: -12 + 12 = 0 0 + -2z = -38 + 12 -2z = -38 + 12 Combine like terms: -38 + 12 = -26 -2z = -26 Divide each side by '-2'. z = 13 Simplifying z = 13
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