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Simplifying 6(a + b) + 4(2a + 3b) = 0 (a * 6 + b * 6) + 4(2a + 3b) = 0 (6a + 6b) + 4(2a + 3b) = 0 6a + 6b + (2a * 4 + 3b * 4) = 0 6a + 6b + (8a + 12b) = 0 Reorder the terms: 6a + 8a + 6b + 12b = 0 Combine like terms: 6a + 8a = 14a 14a + 6b + 12b = 0 Combine like terms: 6b + 12b = 18b 14a + 18b = 0 Solving 14a + 18b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. 14a + 18b + -18b = 0 + -18b Combine like terms: 18b + -18b = 0 14a + 0 = 0 + -18b 14a = 0 + -18b Remove the zero: 14a = -18b Divide each side by '14'. a = -1.285714286b Simplifying a = -1.285714286b
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