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Simplifying 6(5a + 3b + c) = 0 (5a * 6 + 3b * 6 + c * 6) = 0 (30a + 18b + 6c) = 0 Solving 30a + 18b + 6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. 30a + 18b + -18b + 6c = 0 + -18b Combine like terms: 18b + -18b = 0 30a + 0 + 6c = 0 + -18b 30a + 6c = 0 + -18b Remove the zero: 30a + 6c = -18b Add '-6c' to each side of the equation. 30a + 6c + -6c = -18b + -6c Combine like terms: 6c + -6c = 0 30a + 0 = -18b + -6c 30a = -18b + -6c Divide each side by '30'. a = -0.6b + -0.2c Simplifying a = -0.6b + -0.2c
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