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Simplifying 16a + 19b + 5c + 3c + 2b + -3a = 0 Reorder the terms: 16a + -3a + 19b + 2b + 5c + 3c = 0 Combine like terms: 16a + -3a = 13a 13a + 19b + 2b + 5c + 3c = 0 Combine like terms: 19b + 2b = 21b 13a + 21b + 5c + 3c = 0 Combine like terms: 5c + 3c = 8c 13a + 21b + 8c = 0 Solving 13a + 21b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21b' to each side of the equation. 13a + 21b + -21b + 8c = 0 + -21b Combine like terms: 21b + -21b = 0 13a + 0 + 8c = 0 + -21b 13a + 8c = 0 + -21b Remove the zero: 13a + 8c = -21b Add '-8c' to each side of the equation. 13a + 8c + -8c = -21b + -8c Combine like terms: 8c + -8c = 0 13a + 0 = -21b + -8c 13a = -21b + -8c Divide each side by '13'. a = -1.615384615b + -0.6153846154c Simplifying a = -1.615384615b + -0.6153846154c
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