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Simplifying 4a + 3b + 2(2a + 2b) = 0 4a + 3b + (2a * 2 + 2b * 2) = 0 4a + 3b + (4a + 4b) = 0 Reorder the terms: 4a + 4a + 3b + 4b = 0 Combine like terms: 4a + 4a = 8a 8a + 3b + 4b = 0 Combine like terms: 3b + 4b = 7b 8a + 7b = 0 Solving 8a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 8a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 8a + 0 = 0 + -7b 8a = 0 + -7b Remove the zero: 8a = -7b Divide each side by '8'. a = -0.875b Simplifying a = -0.875b
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