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Simplifying 18a + 17b + 5c + 3c + -5b + -2a = 0 Reorder the terms: 18a + -2a + 17b + -5b + 5c + 3c = 0 Combine like terms: 18a + -2a = 16a 16a + 17b + -5b + 5c + 3c = 0 Combine like terms: 17b + -5b = 12b 16a + 12b + 5c + 3c = 0 Combine like terms: 5c + 3c = 8c 16a + 12b + 8c = 0 Solving 16a + 12b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 16a + 12b + -12b + 8c = 0 + -12b Combine like terms: 12b + -12b = 0 16a + 0 + 8c = 0 + -12b 16a + 8c = 0 + -12b Remove the zero: 16a + 8c = -12b Add '-8c' to each side of the equation. 16a + 8c + -8c = -12b + -8c Combine like terms: 8c + -8c = 0 16a + 0 = -12b + -8c 16a = -12b + -8c Divide each side by '16'. a = -0.75b + -0.5c Simplifying a = -0.75b + -0.5c
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