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Simplifying 3(4a + 3b + -2C) = 0 Reorder the terms: 3(-2C + 4a + 3b) = 0 (-2C * 3 + 4a * 3 + 3b * 3) = 0 (-6C + 12a + 9b) = 0 Solving -6C + 12a + 9b = 0 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-12a' to each side of the equation. -6C + 12a + -12a + 9b = 0 + -12a Combine like terms: 12a + -12a = 0 -6C + 0 + 9b = 0 + -12a -6C + 9b = 0 + -12a Remove the zero: -6C + 9b = -12a Add '-9b' to each side of the equation. -6C + 9b + -9b = -12a + -9b Combine like terms: 9b + -9b = 0 -6C + 0 = -12a + -9b -6C = -12a + -9b Divide each side by '-6'. C = 2a + 1.5b Simplifying C = 2a + 1.5b
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