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Simplifying 6a + 3(1c + 3) = 0 Reorder the terms: 6a + 3(3 + 1c) = 0 6a + (3 * 3 + 1c * 3) = 0 6a + (9 + 3c) = 0 Reorder the terms: 9 + 6a + 3c = 0 Solving 9 + 6a + 3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 6a + -9 + 3c = 0 + -9 Reorder the terms: 9 + -9 + 6a + 3c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6a + 3c = 0 + -9 6a + 3c = 0 + -9 Combine like terms: 0 + -9 = -9 6a + 3c = -9 Add '-3c' to each side of the equation. 6a + 3c + -3c = -9 + -3c Combine like terms: 3c + -3c = 0 6a + 0 = -9 + -3c 6a = -9 + -3c Divide each side by '6'. a = -1.5 + -0.5c Simplifying a = -1.5 + -0.5c
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