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Simplifying 8(x + 9) + 3a(x + 9) = 0 Reorder the terms: 8(9 + x) + 3a(x + 9) = 0 (9 * 8 + x * 8) + 3a(x + 9) = 0 (72 + 8x) + 3a(x + 9) = 0 Reorder the terms: 72 + 8x + 3a(9 + x) = 0 72 + 8x + (9 * 3a + x * 3a) = 0 72 + 8x + (27a + 3ax) = 0 Reorder the terms: 72 + 27a + 3ax + 8x = 0 Solving 72 + 27a + 3ax + 8x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + 27a + 3ax + -72 + 8x = 0 + -72 Reorder the terms: 72 + -72 + 27a + 3ax + 8x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 27a + 3ax + 8x = 0 + -72 27a + 3ax + 8x = 0 + -72 Combine like terms: 0 + -72 = -72 27a + 3ax + 8x = -72 Add '-8x' to each side of the equation. 27a + 3ax + 8x + -8x = -72 + -8x Combine like terms: 8x + -8x = 0 27a + 3ax + 0 = -72 + -8x 27a + 3ax = -72 + -8x Reorder the terms: 72 + 27a + 3ax + 8x = -72 + -8x + 72 + 8x Reorder the terms: 72 + 27a + 3ax + 8x = -72 + 72 + -8x + 8x Combine like terms: -72 + 72 = 0 72 + 27a + 3ax + 8x = 0 + -8x + 8x 72 + 27a + 3ax + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 72 + 27a + 3ax + 8x = 0 The solution to this equation could not be determined.
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