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Simplifying (5a + 7b + -3) + (3b + -2a + 9) = 0 Reorder the terms: (-3 + 5a + 7b) + (3b + -2a + 9) = 0 Remove parenthesis around (-3 + 5a + 7b) -3 + 5a + 7b + (3b + -2a + 9) = 0 Reorder the terms: -3 + 5a + 7b + (9 + -2a + 3b) = 0 Remove parenthesis around (9 + -2a + 3b) -3 + 5a + 7b + 9 + -2a + 3b = 0 Reorder the terms: -3 + 9 + 5a + -2a + 7b + 3b = 0 Combine like terms: -3 + 9 = 6 6 + 5a + -2a + 7b + 3b = 0 Combine like terms: 5a + -2a = 3a 6 + 3a + 7b + 3b = 0 Combine like terms: 7b + 3b = 10b 6 + 3a + 10b = 0 Solving 6 + 3a + 10b = 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 + 3a + -6 + 10b = 0 + -6 Reorder the terms: 6 + -6 + 3a + 10b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3a + 10b = 0 + -6 3a + 10b = 0 + -6 Combine like terms: 0 + -6 = -6 3a + 10b = -6 Add '-10b' to each side of the equation. 3a + 10b + -10b = -6 + -10b Combine like terms: 10b + -10b = 0 3a + 0 = -6 + -10b 3a = -6 + -10b Divide each side by '3'. a = -2 + -3.333333333b Simplifying a = -2 + -3.333333333b
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