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Simplifying a + 3(2a + -3b + c) + 7c = 0 a + (2a * 3 + -3b * 3 + c * 3) + 7c = 0 a + (6a + -9b + 3c) + 7c = 0 Combine like terms: a + 6a = 7a 7a + -9b + 3c + 7c = 0 Combine like terms: 3c + 7c = 10c 7a + -9b + 10c = 0 Solving 7a + -9b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 7a + -9b + 9b + 10c = 0 + 9b Combine like terms: -9b + 9b = 0 7a + 0 + 10c = 0 + 9b 7a + 10c = 0 + 9b Remove the zero: 7a + 10c = 9b Add '-10c' to each side of the equation. 7a + 10c + -10c = 9b + -10c Combine like terms: 10c + -10c = 0 7a + 0 = 9b + -10c 7a = 9b + -10c Divide each side by '7'. a = 1.285714286b + -1.428571429c Simplifying a = 1.285714286b + -1.428571429c
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