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Simplifying (6a + -3b + 4) + (7a + -6) = 0 Reorder the terms: (4 + 6a + -3b) + (7a + -6) = 0 Remove parenthesis around (4 + 6a + -3b) 4 + 6a + -3b + (7a + -6) = 0 Reorder the terms: 4 + 6a + -3b + (-6 + 7a) = 0 Remove parenthesis around (-6 + 7a) 4 + 6a + -3b + -6 + 7a = 0 Reorder the terms: 4 + -6 + 6a + 7a + -3b = 0 Combine like terms: 4 + -6 = -2 -2 + 6a + 7a + -3b = 0 Combine like terms: 6a + 7a = 13a -2 + 13a + -3b = 0 Solving -2 + 13a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 13a + 2 + -3b = 0 + 2 Reorder the terms: -2 + 2 + 13a + -3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 13a + -3b = 0 + 2 13a + -3b = 0 + 2 Combine like terms: 0 + 2 = 2 13a + -3b = 2 Add '3b' to each side of the equation. 13a + -3b + 3b = 2 + 3b Combine like terms: -3b + 3b = 0 13a + 0 = 2 + 3b 13a = 2 + 3b Divide each side by '13'. a = 0.1538461538 + 0.2307692308b Simplifying a = 0.1538461538 + 0.2307692308b
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