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Simplifying 15a + 14b + 6c + 6c + -2b + -6a = 0 Reorder the terms: 15a + -6a + 14b + -2b + 6c + 6c = 0 Combine like terms: 15a + -6a = 9a 9a + 14b + -2b + 6c + 6c = 0 Combine like terms: 14b + -2b = 12b 9a + 12b + 6c + 6c = 0 Combine like terms: 6c + 6c = 12c 9a + 12b + 12c = 0 Solving 9a + 12b + 12c = 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. 9a + 12b + -12b + 12c = 0 + -12b Combine like terms: 12b + -12b = 0 9a + 0 + 12c = 0 + -12b 9a + 12c = 0 + -12b Remove the zero: 9a + 12c = -12b Add '-12c' to each side of the equation. 9a + 12c + -12c = -12b + -12c Combine like terms: 12c + -12c = 0 9a + 0 = -12b + -12c 9a = -12b + -12c Divide each side by '9'. a = -1.333333333b + -1.333333333c Simplifying a = -1.333333333b + -1.333333333c
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