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Simplifying 2(9b + c + -8a) + -3(a + -3c + 4b) = 0 Reorder the terms: 2(-8a + 9b + c) + -3(a + -3c + 4b) = 0 (-8a * 2 + 9b * 2 + c * 2) + -3(a + -3c + 4b) = 0 (-16a + 18b + 2c) + -3(a + -3c + 4b) = 0 Reorder the terms: -16a + 18b + 2c + -3(a + 4b + -3c) = 0 -16a + 18b + 2c + (a * -3 + 4b * -3 + -3c * -3) = 0 -16a + 18b + 2c + (-3a + -12b + 9c) = 0 Reorder the terms: -16a + -3a + 18b + -12b + 2c + 9c = 0 Combine like terms: -16a + -3a = -19a -19a + 18b + -12b + 2c + 9c = 0 Combine like terms: 18b + -12b = 6b -19a + 6b + 2c + 9c = 0 Combine like terms: 2c + 9c = 11c -19a + 6b + 11c = 0 Solving -19a + 6b + 11c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. -19a + 6b + -6b + 11c = 0 + -6b Combine like terms: 6b + -6b = 0 -19a + 0 + 11c = 0 + -6b -19a + 11c = 0 + -6b Remove the zero: -19a + 11c = -6b Add '-11c' to each side of the equation. -19a + 11c + -11c = -6b + -11c Combine like terms: 11c + -11c = 0 -19a + 0 = -6b + -11c -19a = -6b + -11c Divide each side by '-19'. a = 0.3157894737b + 0.5789473684c Simplifying a = 0.3157894737b + 0.5789473684c
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