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Simplifying 20a + 13b + 6c + 6c + -6b + -4a = 0 Reorder the terms: 20a + -4a + 13b + -6b + 6c + 6c = 0 Combine like terms: 20a + -4a = 16a 16a + 13b + -6b + 6c + 6c = 0 Combine like terms: 13b + -6b = 7b 16a + 7b + 6c + 6c = 0 Combine like terms: 6c + 6c = 12c 16a + 7b + 12c = 0 Solving 16a + 7b + 12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 16a + 7b + -7b + 12c = 0 + -7b Combine like terms: 7b + -7b = 0 16a + 0 + 12c = 0 + -7b 16a + 12c = 0 + -7b Remove the zero: 16a + 12c = -7b Add '-12c' to each side of the equation. 16a + 12c + -12c = -7b + -12c Combine like terms: 12c + -12c = 0 16a + 0 = -7b + -12c 16a = -7b + -12c Divide each side by '16'. a = -0.4375b + -0.75c Simplifying a = -0.4375b + -0.75c
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