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Simplifying 6(4a + 4b) + -3(a + 3b) = 0 (4a * 6 + 4b * 6) + -3(a + 3b) = 0 (24a + 24b) + -3(a + 3b) = 0 24a + 24b + (a * -3 + 3b * -3) = 0 24a + 24b + (-3a + -9b) = 0 Reorder the terms: 24a + -3a + 24b + -9b = 0 Combine like terms: 24a + -3a = 21a 21a + 24b + -9b = 0 Combine like terms: 24b + -9b = 15b 21a + 15b = 0 Solving 21a + 15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. 21a + 15b + -15b = 0 + -15b Combine like terms: 15b + -15b = 0 21a + 0 = 0 + -15b 21a = 0 + -15b Remove the zero: 21a = -15b Divide each side by '21'. a = -0.7142857143b Simplifying a = -0.7142857143b
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