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Simplifying 7a + 2b + 5 + -5a + 9b + -1 = 0 Reorder the terms: 5 + -1 + 7a + -5a + 2b + 9b = 0 Combine like terms: 5 + -1 = 4 4 + 7a + -5a + 2b + 9b = 0 Combine like terms: 7a + -5a = 2a 4 + 2a + 2b + 9b = 0 Combine like terms: 2b + 9b = 11b 4 + 2a + 11b = 0 Solving 4 + 2a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2a + -4 + 11b = 0 + -4 Reorder the terms: 4 + -4 + 2a + 11b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2a + 11b = 0 + -4 2a + 11b = 0 + -4 Combine like terms: 0 + -4 = -4 2a + 11b = -4 Add '-11b' to each side of the equation. 2a + 11b + -11b = -4 + -11b Combine like terms: 11b + -11b = 0 2a + 0 = -4 + -11b 2a = -4 + -11b Divide each side by '2'. a = -2 + -5.5b Simplifying a = -2 + -5.5b
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