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Simplifying 9(9a + 4b) + -3(a + 6b) = 0 (9a * 9 + 4b * 9) + -3(a + 6b) = 0 (81a + 36b) + -3(a + 6b) = 0 81a + 36b + (a * -3 + 6b * -3) = 0 81a + 36b + (-3a + -18b) = 0 Reorder the terms: 81a + -3a + 36b + -18b = 0 Combine like terms: 81a + -3a = 78a 78a + 36b + -18b = 0 Combine like terms: 36b + -18b = 18b 78a + 18b = 0 Solving 78a + 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. 78a + 18b + -18b = 0 + -18b Combine like terms: 18b + -18b = 0 78a + 0 = 0 + -18b 78a = 0 + -18b Remove the zero: 78a = -18b Divide each side by '78'. a = -0.2307692308b Simplifying a = -0.2307692308b
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