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Simplifying 15a + 18b + 3c + 5c + -3b + -3a = 0 Reorder the terms: 15a + -3a + 18b + -3b + 3c + 5c = 0 Combine like terms: 15a + -3a = 12a 12a + 18b + -3b + 3c + 5c = 0 Combine like terms: 18b + -3b = 15b 12a + 15b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c 12a + 15b + 8c = 0 Solving 12a + 15b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. 12a + 15b + -15b + 8c = 0 + -15b Combine like terms: 15b + -15b = 0 12a + 0 + 8c = 0 + -15b 12a + 8c = 0 + -15b Remove the zero: 12a + 8c = -15b Add '-8c' to each side of the equation. 12a + 8c + -8c = -15b + -8c Combine like terms: 8c + -8c = 0 12a + 0 = -15b + -8c 12a = -15b + -8c Divide each side by '12'. a = -1.25b + -0.6666666667c Simplifying a = -1.25b + -0.6666666667c
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