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Simplifying 4(x + 6) + 3a(x + 6) = 0 Reorder the terms: 4(6 + x) + 3a(x + 6) = 0 (6 * 4 + x * 4) + 3a(x + 6) = 0 (24 + 4x) + 3a(x + 6) = 0 Reorder the terms: 24 + 4x + 3a(6 + x) = 0 24 + 4x + (6 * 3a + x * 3a) = 0 24 + 4x + (18a + 3ax) = 0 Reorder the terms: 24 + 18a + 3ax + 4x = 0 Solving 24 + 18a + 3ax + 4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 18a + 3ax + -24 + 4x = 0 + -24 Reorder the terms: 24 + -24 + 18a + 3ax + 4x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 18a + 3ax + 4x = 0 + -24 18a + 3ax + 4x = 0 + -24 Combine like terms: 0 + -24 = -24 18a + 3ax + 4x = -24 Add '-4x' to each side of the equation. 18a + 3ax + 4x + -4x = -24 + -4x Combine like terms: 4x + -4x = 0 18a + 3ax + 0 = -24 + -4x 18a + 3ax = -24 + -4x Reorder the terms: 24 + 18a + 3ax + 4x = -24 + -4x + 24 + 4x Reorder the terms: 24 + 18a + 3ax + 4x = -24 + 24 + -4x + 4x Combine like terms: -24 + 24 = 0 24 + 18a + 3ax + 4x = 0 + -4x + 4x 24 + 18a + 3ax + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 24 + 18a + 3ax + 4x = 0 The solution to this equation could not be determined.
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