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Simplifying 2 + -2(3a + -6) + -3 + a + b + -3(2a + b) = 0 Reorder the terms: 2 + -2(-6 + 3a) + -3 + a + b + -3(2a + b) = 0 2 + (-6 * -2 + 3a * -2) + -3 + a + b + -3(2a + b) = 0 2 + (12 + -6a) + -3 + a + b + -3(2a + b) = 0 2 + 12 + -6a + -3 + a + b + (2a * -3 + b * -3) = 0 2 + 12 + -6a + -3 + a + b + (-6a + -3b) = 0 Reorder the terms: 2 + 12 + -3 + -6a + a + -6a + b + -3b = 0 Combine like terms: 2 + 12 = 14 14 + -3 + -6a + a + -6a + b + -3b = 0 Combine like terms: 14 + -3 = 11 11 + -6a + a + -6a + b + -3b = 0 Combine like terms: -6a + a = -5a 11 + -5a + -6a + b + -3b = 0 Combine like terms: -5a + -6a = -11a 11 + -11a + b + -3b = 0 Combine like terms: b + -3b = -2b 11 + -11a + -2b = 0 Solving 11 + -11a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11a + -11 + -2b = 0 + -11 Reorder the terms: 11 + -11 + -11a + -2b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -11a + -2b = 0 + -11 -11a + -2b = 0 + -11 Combine like terms: 0 + -11 = -11 -11a + -2b = -11 Add '2b' to each side of the equation. -11a + -2b + 2b = -11 + 2b Combine like terms: -2b + 2b = 0 -11a + 0 = -11 + 2b -11a = -11 + 2b Divide each side by '-11'. a = 1 + -0.1818181818b Simplifying a = 1 + -0.1818181818b
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