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Simplifying 12 = 4a + 2b + (-1a + b + -9) Reorder the terms: 12 = 4a + 2b + (-9 + -1a + b) Remove parenthesis around (-9 + -1a + b) 12 = 4a + 2b + -9 + -1a + b Reorder the terms: 12 = -9 + 4a + -1a + 2b + b Combine like terms: 4a + -1a = 3a 12 = -9 + 3a + 2b + b Combine like terms: 2b + b = 3b 12 = -9 + 3a + 3b Solving 12 = -9 + 3a + 3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 12 + -3a = -9 + 3a + -3a + 3b Combine like terms: 3a + -3a = 0 12 + -3a = -9 + 0 + 3b 12 + -3a = -9 + 3b Add '-12' to each side of the equation. 12 + -12 + -3a = -9 + -12 + 3b Combine like terms: 12 + -12 = 0 0 + -3a = -9 + -12 + 3b -3a = -9 + -12 + 3b Combine like terms: -9 + -12 = -21 -3a = -21 + 3b Divide each side by '-3'. a = 7 + -1b Simplifying a = 7 + -1b
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