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Simplifying (Z + 3)(z + 7) = 0 Reorder the terms: (3 + Z)(z + 7) = 0 Reorder the terms: (3 + Z)(7 + z) = 0 Multiply (3 + Z) * (7 + z) (3(7 + z) + Z(7 + z)) = 0 ((7 * 3 + z * 3) + Z(7 + z)) = 0 ((21 + 3z) + Z(7 + z)) = 0 (21 + 3z + (7 * Z + z * Z)) = 0 (21 + 3z + (7Z + zZ)) = 0 Reorder the terms: (21 + 7Z + 3z + zZ) = 0 (21 + 7Z + 3z + zZ) = 0 Solving 21 + 7Z + 3z + zZ = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 7Z + 3z + -21 + zZ = 0 + -21 Reorder the terms: 21 + -21 + 7Z + 3z + zZ = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7Z + 3z + zZ = 0 + -21 7Z + 3z + zZ = 0 + -21 Combine like terms: 0 + -21 = -21 7Z + 3z + zZ = -21 Add '-3z' to each side of the equation. 7Z + 3z + -3z + zZ = -21 + -3z Combine like terms: 3z + -3z = 0 7Z + 0 + zZ = -21 + -3z 7Z + zZ = -21 + -3z Reorder the terms: 21 + 7Z + 3z + zZ = -21 + -3z + 21 + 3z Reorder the terms: 21 + 7Z + 3z + zZ = -21 + 21 + -3z + 3z Combine like terms: -21 + 21 = 0 21 + 7Z + 3z + zZ = 0 + -3z + 3z 21 + 7Z + 3z + zZ = -3z + 3z Combine like terms: -3z + 3z = 0 21 + 7Z + 3z + zZ = 0 The solution to this equation could not be determined.
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