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Simplifying 12a + 5c + -1a + 7 + -3c = 0 Reorder the terms: 7 + 12a + -1a + 5c + -3c = 0 Combine like terms: 12a + -1a = 11a 7 + 11a + 5c + -3c = 0 Combine like terms: 5c + -3c = 2c 7 + 11a + 2c = 0 Solving 7 + 11a + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 11a + -7 + 2c = 0 + -7 Reorder the terms: 7 + -7 + 11a + 2c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11a + 2c = 0 + -7 11a + 2c = 0 + -7 Combine like terms: 0 + -7 = -7 11a + 2c = -7 Add '-2c' to each side of the equation. 11a + 2c + -2c = -7 + -2c Combine like terms: 2c + -2c = 0 11a + 0 = -7 + -2c 11a = -7 + -2c Divide each side by '11'. a = -0.6363636364 + -0.1818181818c Simplifying a = -0.6363636364 + -0.1818181818c
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