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Simplifying -3z(4a + 4x) + -2(5z + -4a) = -7zx (4a * -3z + 4x * -3z) + -2(5z + -4a) = -7zx (-12az + -12xz) + -2(5z + -4a) = -7zx Reorder the terms: -12az + -12xz + -2(-4a + 5z) = -7zx -12az + -12xz + (-4a * -2 + 5z * -2) = -7zx -12az + -12xz + (8a + -10z) = -7zx Reorder the terms: 8a + -12az + -12xz + -10z = -7zx Solving 8a + -12az + -12xz + -10z = -7xz Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12xz' to each side of the equation. 8a + -12az + -12xz + 12xz + -10z = -7xz + 12xz Combine like terms: -12xz + 12xz = 0 8a + -12az + 0 + -10z = -7xz + 12xz 8a + -12az + -10z = -7xz + 12xz Combine like terms: -7xz + 12xz = 5xz 8a + -12az + -10z = 5xz Add '10z' to each side of the equation. 8a + -12az + -10z + 10z = 5xz + 10z Combine like terms: -10z + 10z = 0 8a + -12az + 0 = 5xz + 10z 8a + -12az = 5xz + 10z Reorder the terms: 8a + -12az + -5xz + -10z = 5xz + -5xz + 10z + -10z Combine like terms: 5xz + -5xz = 0 8a + -12az + -5xz + -10z = 0 + 10z + -10z 8a + -12az + -5xz + -10z = 10z + -10z Combine like terms: 10z + -10z = 0 8a + -12az + -5xz + -10z = 0 The solution to this equation could not be determined.
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