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Simplifying 20a + 15b + 4c + 3c + -3b + -4a = 0 Reorder the terms: 20a + -4a + 15b + -3b + 4c + 3c = 0 Combine like terms: 20a + -4a = 16a 16a + 15b + -3b + 4c + 3c = 0 Combine like terms: 15b + -3b = 12b 16a + 12b + 4c + 3c = 0 Combine like terms: 4c + 3c = 7c 16a + 12b + 7c = 0 Solving 16a + 12b + 7c = 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 + 7c = 0 + -12b Combine like terms: 12b + -12b = 0 16a + 0 + 7c = 0 + -12b 16a + 7c = 0 + -12b Remove the zero: 16a + 7c = -12b Add '-7c' to each side of the equation. 16a + 7c + -7c = -12b + -7c Combine like terms: 7c + -7c = 0 16a + 0 = -12b + -7c 16a = -12b + -7c Divide each side by '16'. a = -0.75b + -0.4375c Simplifying a = -0.75b + -0.4375c
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