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Simplifying 15a + 6c + 3 + -6a + c = 0 Reorder the terms: 3 + 15a + -6a + 6c + c = 0 Combine like terms: 15a + -6a = 9a 3 + 9a + 6c + c = 0 Combine like terms: 6c + c = 7c 3 + 9a + 7c = 0 Solving 3 + 9a + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 9a + -3 + 7c = 0 + -3 Reorder the terms: 3 + -3 + 9a + 7c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 9a + 7c = 0 + -3 9a + 7c = 0 + -3 Combine like terms: 0 + -3 = -3 9a + 7c = -3 Add '-7c' to each side of the equation. 9a + 7c + -7c = -3 + -7c Combine like terms: 7c + -7c = 0 9a + 0 = -3 + -7c 9a = -3 + -7c Divide each side by '9'. a = -0.3333333333 + -0.7777777778c Simplifying a = -0.3333333333 + -0.7777777778c
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