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Simplifying 12a + 18b + 5c + 4c + -5b + -2a = 0 Reorder the terms: 12a + -2a + 18b + -5b + 5c + 4c = 0 Combine like terms: 12a + -2a = 10a 10a + 18b + -5b + 5c + 4c = 0 Combine like terms: 18b + -5b = 13b 10a + 13b + 5c + 4c = 0 Combine like terms: 5c + 4c = 9c 10a + 13b + 9c = 0 Solving 10a + 13b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. 10a + 13b + -13b + 9c = 0 + -13b Combine like terms: 13b + -13b = 0 10a + 0 + 9c = 0 + -13b 10a + 9c = 0 + -13b Remove the zero: 10a + 9c = -13b Add '-9c' to each side of the equation. 10a + 9c + -9c = -13b + -9c Combine like terms: 9c + -9c = 0 10a + 0 = -13b + -9c 10a = -13b + -9c Divide each side by '10'. a = -1.3b + -0.9c Simplifying a = -1.3b + -0.9c
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