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Simplifying 4(2a + b) + 2(6a + 2b) = 0 (2a * 4 + b * 4) + 2(6a + 2b) = 0 (8a + 4b) + 2(6a + 2b) = 0 8a + 4b + (6a * 2 + 2b * 2) = 0 8a + 4b + (12a + 4b) = 0 Reorder the terms: 8a + 12a + 4b + 4b = 0 Combine like terms: 8a + 12a = 20a 20a + 4b + 4b = 0 Combine like terms: 4b + 4b = 8b 20a + 8b = 0 Solving 20a + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 20a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 20a + 0 = 0 + -8b 20a = 0 + -8b Remove the zero: 20a = -8b Divide each side by '20'. a = -0.4b Simplifying a = -0.4b
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