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Simplifying 4(2a + 4b) + 3(2a + 2b) = 0 (2a * 4 + 4b * 4) + 3(2a + 2b) = 0 (8a + 16b) + 3(2a + 2b) = 0 8a + 16b + (2a * 3 + 2b * 3) = 0 8a + 16b + (6a + 6b) = 0 Reorder the terms: 8a + 6a + 16b + 6b = 0 Combine like terms: 8a + 6a = 14a 14a + 16b + 6b = 0 Combine like terms: 16b + 6b = 22b 14a + 22b = 0 Solving 14a + 22b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22b' to each side of the equation. 14a + 22b + -22b = 0 + -22b Combine like terms: 22b + -22b = 0 14a + 0 = 0 + -22b 14a = 0 + -22b Remove the zero: 14a = -22b Divide each side by '14'. a = -1.571428571b Simplifying a = -1.571428571b
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