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Simplifying 16a + 12b + 5c + 5c + -4b + -2a = 0 Reorder the terms: 16a + -2a + 12b + -4b + 5c + 5c = 0 Combine like terms: 16a + -2a = 14a 14a + 12b + -4b + 5c + 5c = 0 Combine like terms: 12b + -4b = 8b 14a + 8b + 5c + 5c = 0 Combine like terms: 5c + 5c = 10c 14a + 8b + 10c = 0 Solving 14a + 8b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 14a + 8b + -8b + 10c = 0 + -8b Combine like terms: 8b + -8b = 0 14a + 0 + 10c = 0 + -8b 14a + 10c = 0 + -8b Remove the zero: 14a + 10c = -8b Add '-10c' to each side of the equation. 14a + 10c + -10c = -8b + -10c Combine like terms: 10c + -10c = 0 14a + 0 = -8b + -10c 14a = -8b + -10c Divide each side by '14'. a = -0.5714285714b + -0.7142857143c Simplifying a = -0.5714285714b + -0.7142857143c
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