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Simplifying 15a + 18b + 5c + 4c + -2b + -3a = 0 Reorder the terms: 15a + -3a + 18b + -2b + 5c + 4c = 0 Combine like terms: 15a + -3a = 12a 12a + 18b + -2b + 5c + 4c = 0 Combine like terms: 18b + -2b = 16b 12a + 16b + 5c + 4c = 0 Combine like terms: 5c + 4c = 9c 12a + 16b + 9c = 0 Solving 12a + 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. 12a + 16b + -16b + 9c = 0 + -16b Combine like terms: 16b + -16b = 0 12a + 0 + 9c = 0 + -16b 12a + 9c = 0 + -16b Remove the zero: 12a + 9c = -16b Add '-9c' to each side of the equation. 12a + 9c + -9c = -16b + -9c Combine like terms: 9c + -9c = 0 12a + 0 = -16b + -9c 12a = -16b + -9c Divide each side by '12'. a = -1.333333333b + -0.75c Simplifying a = -1.333333333b + -0.75c
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