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Simplifying 13a + 18b + 2c + 4c + -6b + -2a = 0 Reorder the terms: 13a + -2a + 18b + -6b + 2c + 4c = 0 Combine like terms: 13a + -2a = 11a 11a + 18b + -6b + 2c + 4c = 0 Combine like terms: 18b + -6b = 12b 11a + 12b + 2c + 4c = 0 Combine like terms: 2c + 4c = 6c 11a + 12b + 6c = 0 Solving 11a + 12b + 6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 11a + 12b + -12b + 6c = 0 + -12b Combine like terms: 12b + -12b = 0 11a + 0 + 6c = 0 + -12b 11a + 6c = 0 + -12b Remove the zero: 11a + 6c = -12b Add '-6c' to each side of the equation. 11a + 6c + -6c = -12b + -6c Combine like terms: 6c + -6c = 0 11a + 0 = -12b + -6c 11a = -12b + -6c Divide each side by '11'. a = -1.090909091b + -0.5454545455c Simplifying a = -1.090909091b + -0.5454545455c
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