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Simplifying (3a + 4)(3z + -4) = 0 Reorder the terms: (4 + 3a)(3z + -4) = 0 Reorder the terms: (4 + 3a)(-4 + 3z) = 0 Multiply (4 + 3a) * (-4 + 3z) (4(-4 + 3z) + 3a * (-4 + 3z)) = 0 ((-4 * 4 + 3z * 4) + 3a * (-4 + 3z)) = 0 ((-16 + 12z) + 3a * (-4 + 3z)) = 0 (-16 + 12z + (-4 * 3a + 3z * 3a)) = 0 (-16 + 12z + (-12a + 9az)) = 0 Reorder the terms: (-16 + -12a + 9az + 12z) = 0 (-16 + -12a + 9az + 12z) = 0 Solving -16 + -12a + 9az + 12z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -12a + 9az + 16 + 12z = 0 + 16 Reorder the terms: -16 + 16 + -12a + 9az + 12z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -12a + 9az + 12z = 0 + 16 -12a + 9az + 12z = 0 + 16 Combine like terms: 0 + 16 = 16 -12a + 9az + 12z = 16 Add '-12z' to each side of the equation. -12a + 9az + 12z + -12z = 16 + -12z Combine like terms: 12z + -12z = 0 -12a + 9az + 0 = 16 + -12z -12a + 9az = 16 + -12z Reorder the terms: -16 + -12a + 9az + 12z = 16 + -12z + -16 + 12z Reorder the terms: -16 + -12a + 9az + 12z = 16 + -16 + -12z + 12z Combine like terms: 16 + -16 = 0 -16 + -12a + 9az + 12z = 0 + -12z + 12z -16 + -12a + 9az + 12z = -12z + 12z Combine like terms: -12z + 12z = 0 -16 + -12a + 9az + 12z = 0 The solution to this equation could not be determined.
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