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Simplifying 12 + 3(8 + 2b) + -2a + -3b + -9 + b = 0 12 + (8 * 3 + 2b * 3) + -2a + -3b + -9 + b = 0 12 + (24 + 6b) + -2a + -3b + -9 + b = 0 Reorder the terms: 12 + 24 + -9 + -2a + 6b + -3b + b = 0 Combine like terms: 12 + 24 = 36 36 + -9 + -2a + 6b + -3b + b = 0 Combine like terms: 36 + -9 = 27 27 + -2a + 6b + -3b + b = 0 Combine like terms: 6b + -3b = 3b 27 + -2a + 3b + b = 0 Combine like terms: 3b + b = 4b 27 + -2a + 4b = 0 Solving 27 + -2a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -2a + -27 + 4b = 0 + -27 Reorder the terms: 27 + -27 + -2a + 4b = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -2a + 4b = 0 + -27 -2a + 4b = 0 + -27 Combine like terms: 0 + -27 = -27 -2a + 4b = -27 Add '-4b' to each side of the equation. -2a + 4b + -4b = -27 + -4b Combine like terms: 4b + -4b = 0 -2a + 0 = -27 + -4b -2a = -27 + -4b Divide each side by '-2'. a = 13.5 + 2b Simplifying a = 13.5 + 2b
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