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