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Simplifying 16a + 13b + 2c + 4c + -3b + -6b = 0 Reorder the terms: 16a + 13b + -3b + -6b + 2c + 4c = 0 Combine like terms: 13b + -3b = 10b 16a + 10b + -6b + 2c + 4c = 0 Combine like terms: 10b + -6b = 4b 16a + 4b + 2c + 4c = 0 Combine like terms: 2c + 4c = 6c 16a + 4b + 6c = 0 Solving 16a + 4b + 6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 16a + 4b + -4b + 6c = 0 + -4b Combine like terms: 4b + -4b = 0 16a + 0 + 6c = 0 + -4b 16a + 6c = 0 + -4b Remove the zero: 16a + 6c = -4b Add '-6c' to each side of the equation. 16a + 6c + -6c = -4b + -6c Combine like terms: 6c + -6c = 0 16a + 0 = -4b + -6c 16a = -4b + -6c Divide each side by '16'. a = -0.25b + -0.375c Simplifying a = -0.25b + -0.375c
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