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Simplifying 3(a + b) + 8(a + b) = 0 (a * 3 + b * 3) + 8(a + b) = 0 (3a + 3b) + 8(a + b) = 0 3a + 3b + (a * 8 + b * 8) = 0 3a + 3b + (8a + 8b) = 0 Reorder the terms: 3a + 8a + 3b + 8b = 0 Combine like terms: 3a + 8a = 11a 11a + 3b + 8b = 0 Combine like terms: 3b + 8b = 11b 11a + 11b = 0 Solving 11a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 11a + 11b + -11b = 0 + -11b Combine like terms: 11b + -11b = 0 11a + 0 = 0 + -11b 11a = 0 + -11b Remove the zero: 11a = -11b Divide each side by '11'. a = -1b Simplifying a = -1b
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