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Simplifying 15a + 18b + 6c + 3c + -2b + -6a = 0 Reorder the terms: 15a + -6a + 18b + -2b + 6c + 3c = 0 Combine like terms: 15a + -6a = 9a 9a + 18b + -2b + 6c + 3c = 0 Combine like terms: 18b + -2b = 16b 9a + 16b + 6c + 3c = 0 Combine like terms: 6c + 3c = 9c 9a + 16b + 9c = 0 Solving 9a + 16b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16b' to each side of the equation. 9a + 16b + -16b + 9c = 0 + -16b Combine like terms: 16b + -16b = 0 9a + 0 + 9c = 0 + -16b 9a + 9c = 0 + -16b Remove the zero: 9a + 9c = -16b Add '-9c' to each side of the equation. 9a + 9c + -9c = -16b + -9c Combine like terms: 9c + -9c = 0 9a + 0 = -16b + -9c 9a = -16b + -9c Divide each side by '9'. a = -1.777777778b + -1c Simplifying a = -1.777777778b + -1c
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