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Simplifying 7a + -2c + 4b + 11b + -2a + 9c = 0 Reorder the terms: 7a + -2a + 4b + 11b + -2c + 9c = 0 Combine like terms: 7a + -2a = 5a 5a + 4b + 11b + -2c + 9c = 0 Combine like terms: 4b + 11b = 15b 5a + 15b + -2c + 9c = 0 Combine like terms: -2c + 9c = 7c 5a + 15b + 7c = 0 Solving 5a + 15b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. 5a + 15b + -15b + 7c = 0 + -15b Combine like terms: 15b + -15b = 0 5a + 0 + 7c = 0 + -15b 5a + 7c = 0 + -15b Remove the zero: 5a + 7c = -15b Add '-7c' to each side of the equation. 5a + 7c + -7c = -15b + -7c Combine like terms: 7c + -7c = 0 5a + 0 = -15b + -7c 5a = -15b + -7c Divide each side by '5'. a = -3b + -1.4c Simplifying a = -3b + -1.4c
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