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Simplifying 17a + 18b + 3c + 6c + -5b + -2a = 0 Reorder the terms: 17a + -2a + 18b + -5b + 3c + 6c = 0 Combine like terms: 17a + -2a = 15a 15a + 18b + -5b + 3c + 6c = 0 Combine like terms: 18b + -5b = 13b 15a + 13b + 3c + 6c = 0 Combine like terms: 3c + 6c = 9c 15a + 13b + 9c = 0 Solving 15a + 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. 15a + 13b + -13b + 9c = 0 + -13b Combine like terms: 13b + -13b = 0 15a + 0 + 9c = 0 + -13b 15a + 9c = 0 + -13b Remove the zero: 15a + 9c = -13b Add '-9c' to each side of the equation. 15a + 9c + -9c = -13b + -9c Combine like terms: 9c + -9c = 0 15a + 0 = -13b + -9c 15a = -13b + -9c Divide each side by '15'. a = -0.8666666667b + -0.6c Simplifying a = -0.8666666667b + -0.6c
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