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Simplifying 20a + 17b + 3c + 4c + -5b + -2a = 0 Reorder the terms: 20a + -2a + 17b + -5b + 3c + 4c = 0 Combine like terms: 20a + -2a = 18a 18a + 17b + -5b + 3c + 4c = 0 Combine like terms: 17b + -5b = 12b 18a + 12b + 3c + 4c = 0 Combine like terms: 3c + 4c = 7c 18a + 12b + 7c = 0 Solving 18a + 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. 18a + 12b + -12b + 7c = 0 + -12b Combine like terms: 12b + -12b = 0 18a + 0 + 7c = 0 + -12b 18a + 7c = 0 + -12b Remove the zero: 18a + 7c = -12b Add '-7c' to each side of the equation. 18a + 7c + -7c = -12b + -7c Combine like terms: 7c + -7c = 0 18a + 0 = -12b + -7c 18a = -12b + -7c Divide each side by '18'. a = -0.6666666667b + -0.3888888889c Simplifying a = -0.6666666667b + -0.3888888889c
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