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Simplifying 4(3a + 9b + -4c) = 0 (3a * 4 + 9b * 4 + -4c * 4) = 0 (12a + 36b + -16c) = 0 Solving 12a + 36b + -16c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36b' to each side of the equation. 12a + 36b + -36b + -16c = 0 + -36b Combine like terms: 36b + -36b = 0 12a + 0 + -16c = 0 + -36b 12a + -16c = 0 + -36b Remove the zero: 12a + -16c = -36b Add '16c' to each side of the equation. 12a + -16c + 16c = -36b + 16c Combine like terms: -16c + 16c = 0 12a + 0 = -36b + 16c 12a = -36b + 16c Divide each side by '12'. a = -3b + 1.333333333c Simplifying a = -3b + 1.333333333c
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