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Simplifying 4(x + 9) + 3a(x + 9) = 0 Reorder the terms: 4(9 + x) + 3a(x + 9) = 0 (9 * 4 + x * 4) + 3a(x + 9) = 0 (36 + 4x) + 3a(x + 9) = 0 Reorder the terms: 36 + 4x + 3a(9 + x) = 0 36 + 4x + (9 * 3a + x * 3a) = 0 36 + 4x + (27a + 3ax) = 0 Reorder the terms: 36 + 27a + 3ax + 4x = 0 Solving 36 + 27a + 3ax + 4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 27a + 3ax + -36 + 4x = 0 + -36 Reorder the terms: 36 + -36 + 27a + 3ax + 4x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 27a + 3ax + 4x = 0 + -36 27a + 3ax + 4x = 0 + -36 Combine like terms: 0 + -36 = -36 27a + 3ax + 4x = -36 Add '-4x' to each side of the equation. 27a + 3ax + 4x + -4x = -36 + -4x Combine like terms: 4x + -4x = 0 27a + 3ax + 0 = -36 + -4x 27a + 3ax = -36 + -4x Reorder the terms: 36 + 27a + 3ax + 4x = -36 + -4x + 36 + 4x Reorder the terms: 36 + 27a + 3ax + 4x = -36 + 36 + -4x + 4x Combine like terms: -36 + 36 = 0 36 + 27a + 3ax + 4x = 0 + -4x + 4x 36 + 27a + 3ax + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 36 + 27a + 3ax + 4x = 0 The solution to this equation could not be determined.
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