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Simplifying 16a + 12b + 5c + 3c + -6b + -6a = 0 Reorder the terms: 16a + -6a + 12b + -6b + 5c + 3c = 0 Combine like terms: 16a + -6a = 10a 10a + 12b + -6b + 5c + 3c = 0 Combine like terms: 12b + -6b = 6b 10a + 6b + 5c + 3c = 0 Combine like terms: 5c + 3c = 8c 10a + 6b + 8c = 0 Solving 10a + 6b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 10a + 6b + -6b + 8c = 0 + -6b Combine like terms: 6b + -6b = 0 10a + 0 + 8c = 0 + -6b 10a + 8c = 0 + -6b Remove the zero: 10a + 8c = -6b Add '-8c' to each side of the equation. 10a + 8c + -8c = -6b + -8c Combine like terms: 8c + -8c = 0 10a + 0 = -6b + -8c 10a = -6b + -8c Divide each side by '10'. a = -0.6b + -0.8c Simplifying a = -0.6b + -0.8c
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