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Simplifying 24a + -16b + 3c + -8b + 7a + 5c + 23b + 14a + -7c + -16a + -2c = 0 Reorder the terms: 24a + 7a + 14a + -16a + -16b + -8b + 23b + 3c + 5c + -7c + -2c = 0 Combine like terms: 24a + 7a = 31a 31a + 14a + -16a + -16b + -8b + 23b + 3c + 5c + -7c + -2c = 0 Combine like terms: 31a + 14a = 45a 45a + -16a + -16b + -8b + 23b + 3c + 5c + -7c + -2c = 0 Combine like terms: 45a + -16a = 29a 29a + -16b + -8b + 23b + 3c + 5c + -7c + -2c = 0 Combine like terms: -16b + -8b = -24b 29a + -24b + 23b + 3c + 5c + -7c + -2c = 0 Combine like terms: -24b + 23b = -1b 29a + -1b + 3c + 5c + -7c + -2c = 0 Combine like terms: 3c + 5c = 8c 29a + -1b + 8c + -7c + -2c = 0 Combine like terms: 8c + -7c = 1c 29a + -1b + 1c + -2c = 0 Combine like terms: 1c + -2c = -1c 29a + -1b + -1c = 0 Solving 29a + -1b + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 29a + -1b + b + -1c = 0 + b Combine like terms: -1b + b = 0 29a + 0 + -1c = 0 + b 29a + -1c = 0 + b Remove the zero: 29a + -1c = b Add 'c' to each side of the equation. 29a + -1c + c = b + c Combine like terms: -1c + c = 0 29a + 0 = b + c 29a = b + c Divide each side by '29'. a = 0.03448275862b + 0.03448275862c Simplifying a = 0.03448275862b + 0.03448275862c
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