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Simplifying 2(a + b) + 4(a + b) = 0 (a * 2 + b * 2) + 4(a + b) = 0 (2a + 2b) + 4(a + b) = 0 2a + 2b + (a * 4 + b * 4) = 0 2a + 2b + (4a + 4b) = 0 Reorder the terms: 2a + 4a + 2b + 4b = 0 Combine like terms: 2a + 4a = 6a 6a + 2b + 4b = 0 Combine like terms: 2b + 4b = 6b 6a + 6b = 0 Solving 6a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 6a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 6a + 0 = 0 + -6b 6a = 0 + -6b Remove the zero: 6a = -6b Divide each side by '6'. a = -1b Simplifying a = -1b
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