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Simplifying 12 + 3(a + 2b) + -2a + -3b + -9 + b = 0 12 + (a * 3 + 2b * 3) + -2a + -3b + -9 + b = 0 12 + (3a + 6b) + -2a + -3b + -9 + b = 0 Reorder the terms: 12 + -9 + 3a + -2a + 6b + -3b + b = 0 Combine like terms: 12 + -9 = 3 3 + 3a + -2a + 6b + -3b + b = 0 Combine like terms: 3a + -2a = 1a 3 + 1a + 6b + -3b + b = 0 Combine like terms: 6b + -3b = 3b 3 + 1a + 3b + b = 0 Combine like terms: 3b + b = 4b 3 + 1a + 4b = 0 Solving 3 + 1a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 1a + -3 + 4b = 0 + -3 Reorder the terms: 3 + -3 + 1a + 4b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1a + 4b = 0 + -3 1a + 4b = 0 + -3 Combine like terms: 0 + -3 = -3 1a + 4b = -3 Add '-4b' to each side of the equation. 1a + 4b + -4b = -3 + -4b Combine like terms: 4b + -4b = 0 1a + 0 = -3 + -4b 1a = -3 + -4b Divide each side by '1'. a = -3 + -4b Simplifying a = -3 + -4b
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