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Simplifying 9a + -3b + 1 = 12 + -1a + b Reorder the terms: 1 + 9a + -3b = 12 + -1a + b Solving 1 + 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. 1 + 9a + a + -3b = 12 + -1a + a + b Combine like terms: 9a + a = 10a 1 + 10a + -3b = 12 + -1a + a + b Combine like terms: -1a + a = 0 1 + 10a + -3b = 12 + 0 + b 1 + 10a + -3b = 12 + b Add '-1' to each side of the equation. 1 + 10a + -1 + -3b = 12 + -1 + b Reorder the terms: 1 + -1 + 10a + -3b = 12 + -1 + b Combine like terms: 1 + -1 = 0 0 + 10a + -3b = 12 + -1 + b 10a + -3b = 12 + -1 + b Combine like terms: 12 + -1 = 11 10a + -3b = 11 + b Add '3b' to each side of the equation. 10a + -3b + 3b = 11 + b + 3b Combine like terms: -3b + 3b = 0 10a + 0 = 11 + b + 3b 10a = 11 + b + 3b Combine like terms: b + 3b = 4b 10a = 11 + 4b Divide each side by '10'. a = 1.1 + 0.4b Simplifying a = 1.1 + 0.4b
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