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Simplifying 12 + -1a + b = 9a + -3b + 3 Reorder the terms: 12 + -1a + b = 3 + 9a + -3b Solving 12 + -1a + b = 3 + 9a + -3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 12 + -1a + -9a + b = 3 + 9a + -9a + -3b Combine like terms: -1a + -9a = -10a 12 + -10a + b = 3 + 9a + -9a + -3b Combine like terms: 9a + -9a = 0 12 + -10a + b = 3 + 0 + -3b 12 + -10a + b = 3 + -3b Add '-12' to each side of the equation. 12 + -10a + -12 + b = 3 + -12 + -3b Reorder the terms: 12 + -12 + -10a + b = 3 + -12 + -3b Combine like terms: 12 + -12 = 0 0 + -10a + b = 3 + -12 + -3b -10a + b = 3 + -12 + -3b Combine like terms: 3 + -12 = -9 -10a + b = -9 + -3b Add '-1b' to each side of the equation. -10a + b + -1b = -9 + -3b + -1b Combine like terms: b + -1b = 0 -10a + 0 = -9 + -3b + -1b -10a = -9 + -3b + -1b Combine like terms: -3b + -1b = -4b -10a = -9 + -4b Divide each side by '-10'. a = 0.9 + 0.4b Simplifying a = 0.9 + 0.4b
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