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Simplifying (3a + b + -4c) * 6 = 0 Reorder the terms for easier multiplication: 6(3a + b + -4c) = 0 (3a * 6 + b * 6 + -4c * 6) = 0 (18a + 6b + -24c) = 0 Solving 18a + 6b + -24c = 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. 18a + 6b + -6b + -24c = 0 + -6b Combine like terms: 6b + -6b = 0 18a + 0 + -24c = 0 + -6b 18a + -24c = 0 + -6b Remove the zero: 18a + -24c = -6b Add '24c' to each side of the equation. 18a + -24c + 24c = -6b + 24c Combine like terms: -24c + 24c = 0 18a + 0 = -6b + 24c 18a = -6b + 24c Divide each side by '18'. a = -0.3333333333b + 1.333333333c Simplifying a = -0.3333333333b + 1.333333333c
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