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Simplifying 9(a + b) + 4(a + b) = 0 (a * 9 + b * 9) + 4(a + b) = 0 (9a + 9b) + 4(a + b) = 0 9a + 9b + (a * 4 + b * 4) = 0 9a + 9b + (4a + 4b) = 0 Reorder the terms: 9a + 4a + 9b + 4b = 0 Combine like terms: 9a + 4a = 13a 13a + 9b + 4b = 0 Combine like terms: 9b + 4b = 13b 13a + 13b = 0 Solving 13a + 13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. 13a + 13b + -13b = 0 + -13b Combine like terms: 13b + -13b = 0 13a + 0 = 0 + -13b 13a = 0 + -13b Remove the zero: 13a = -13b Divide each side by '13'. a = -1b Simplifying a = -1b
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