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Simplifying 6(3a + b) + -1z(3a + b) = 0 (3a * 6 + b * 6) + -1z(3a + b) = 0 (18a + 6b) + -1z(3a + b) = 0 18a + 6b + (3a * -1z + b * -1z) = 0 18a + 6b + (-3az + -1bz) = 0 Reorder the terms: 18a + -3az + 6b + -1bz = 0 Solving 18a + -3az + 6b + -1bz = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 18a + -3az + 6b + -6b + -1bz = 0 + -6b Combine like terms: 6b + -6b = 0 18a + -3az + 0 + -1bz = 0 + -6b 18a + -3az + -1bz = 0 + -6b Remove the zero: 18a + -3az + -1bz = -6b Add 'bz' to each side of the equation. 18a + -3az + -1bz + bz = -6b + bz Combine like terms: -1bz + bz = 0 18a + -3az + 0 = -6b + bz 18a + -3az = -6b + bz Reorder the terms: 18a + -3az + 6b + -1bz = -6b + 6b + bz + -1bz Combine like terms: -6b + 6b = 0 18a + -3az + 6b + -1bz = 0 + bz + -1bz 18a + -3az + 6b + -1bz = bz + -1bz Combine like terms: bz + -1bz = 0 18a + -3az + 6b + -1bz = 0 The solution to this equation could not be determined.
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