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