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Simplifying 2(3a + 3b) + 5(a + b) = 0 (3a * 2 + 3b * 2) + 5(a + b) = 0 (6a + 6b) + 5(a + b) = 0 6a + 6b + (a * 5 + b * 5) = 0 6a + 6b + (5a + 5b) = 0 Reorder the terms: 6a + 5a + 6b + 5b = 0 Combine like terms: 6a + 5a = 11a 11a + 6b + 5b = 0 Combine like terms: 6b + 5b = 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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