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Simplifying 6a + 2b + 3a + -6 + 9b = 0 Reorder the terms: -6 + 6a + 3a + 2b + 9b = 0 Combine like terms: 6a + 3a = 9a -6 + 9a + 2b + 9b = 0 Combine like terms: 2b + 9b = 11b -6 + 9a + 11b = 0 Solving -6 + 9a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 9a + 6 + 11b = 0 + 6 Reorder the terms: -6 + 6 + 9a + 11b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 9a + 11b = 0 + 6 9a + 11b = 0 + 6 Combine like terms: 0 + 6 = 6 9a + 11b = 6 Add '-11b' to each side of the equation. 9a + 11b + -11b = 6 + -11b Combine like terms: 11b + -11b = 0 9a + 0 = 6 + -11b 9a = 6 + -11b Divide each side by '9'. a = 0.6666666667 + -1.222222222b Simplifying a = 0.6666666667 + -1.222222222b
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