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Simplifying (6a + 3b + -5) + (8b + -6) = 0 Reorder the terms: (-5 + 6a + 3b) + (8b + -6) = 0 Remove parenthesis around (-5 + 6a + 3b) -5 + 6a + 3b + (8b + -6) = 0 Reorder the terms: -5 + 6a + 3b + (-6 + 8b) = 0 Remove parenthesis around (-6 + 8b) -5 + 6a + 3b + -6 + 8b = 0 Reorder the terms: -5 + -6 + 6a + 3b + 8b = 0 Combine like terms: -5 + -6 = -11 -11 + 6a + 3b + 8b = 0 Combine like terms: 3b + 8b = 11b -11 + 6a + 11b = 0 Solving -11 + 6a + 11b = 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 + 6a + 11 + 11b = 0 + 11 Reorder the terms: -11 + 11 + 6a + 11b = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 6a + 11b = 0 + 11 6a + 11b = 0 + 11 Combine like terms: 0 + 11 = 11 6a + 11b = 11 Add '-11b' to each side of the equation. 6a + 11b + -11b = 11 + -11b Combine like terms: 11b + -11b = 0 6a + 0 = 11 + -11b 6a = 11 + -11b Divide each side by '6'. a = 1.833333333 + -1.833333333b Simplifying a = 1.833333333 + -1.833333333b
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