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Simplifying 3a + 6b + -4 + -1a + 8 + -9b = 0 Reorder the terms: -4 + 8 + 3a + -1a + 6b + -9b = 0 Combine like terms: -4 + 8 = 4 4 + 3a + -1a + 6b + -9b = 0 Combine like terms: 3a + -1a = 2a 4 + 2a + 6b + -9b = 0 Combine like terms: 6b + -9b = -3b 4 + 2a + -3b = 0 Solving 4 + 2a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2a + -4 + -3b = 0 + -4 Reorder the terms: 4 + -4 + 2a + -3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2a + -3b = 0 + -4 2a + -3b = 0 + -4 Combine like terms: 0 + -4 = -4 2a + -3b = -4 Add '3b' to each side of the equation. 2a + -3b + 3b = -4 + 3b Combine like terms: -3b + 3b = 0 2a + 0 = -4 + 3b 2a = -4 + 3b Divide each side by '2'. a = -2 + 1.5b Simplifying a = -2 + 1.5b
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