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Simplifying 20a + 12b + 5c + 5c + -5b + -5b + -2a = 0 Reorder the terms: 20a + -2a + 12b + -5b + -5b + 5c + 5c = 0 Combine like terms: 20a + -2a = 18a 18a + 12b + -5b + -5b + 5c + 5c = 0 Combine like terms: 12b + -5b = 7b 18a + 7b + -5b + 5c + 5c = 0 Combine like terms: 7b + -5b = 2b 18a + 2b + 5c + 5c = 0 Combine like terms: 5c + 5c = 10c 18a + 2b + 10c = 0 Solving 18a + 2b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 18a + 2b + -2b + 10c = 0 + -2b Combine like terms: 2b + -2b = 0 18a + 0 + 10c = 0 + -2b 18a + 10c = 0 + -2b Remove the zero: 18a + 10c = -2b Add '-10c' to each side of the equation. 18a + 10c + -10c = -2b + -10c Combine like terms: 10c + -10c = 0 18a + 0 = -2b + -10c 18a = -2b + -10c Divide each side by '18'. a = -0.1111111111b + -0.5555555556c Simplifying a = -0.1111111111b + -0.5555555556c
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