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Simplifying 3a + 4b + -8(3a + -6b) = 0 3a + 4b + (3a * -8 + -6b * -8) = 0 3a + 4b + (-24a + 48b) = 0 Reorder the terms: 3a + -24a + 4b + 48b = 0 Combine like terms: 3a + -24a = -21a -21a + 4b + 48b = 0 Combine like terms: 4b + 48b = 52b -21a + 52b = 0 Solving -21a + 52b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-52b' to each side of the equation. -21a + 52b + -52b = 0 + -52b Combine like terms: 52b + -52b = 0 -21a + 0 = 0 + -52b -21a = 0 + -52b Remove the zero: -21a = -52b Divide each side by '-21'. a = 2.476190476b Simplifying a = 2.476190476b
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