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Simplifying 20a + -1b + 14c + 3b + -7c + -5a = 0 Reorder the terms: 20a + -5a + -1b + 3b + 14c + -7c = 0 Combine like terms: 20a + -5a = 15a 15a + -1b + 3b + 14c + -7c = 0 Combine like terms: -1b + 3b = 2b 15a + 2b + 14c + -7c = 0 Combine like terms: 14c + -7c = 7c 15a + 2b + 7c = 0 Solving 15a + 2b + 7c = 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. 15a + 2b + -2b + 7c = 0 + -2b Combine like terms: 2b + -2b = 0 15a + 0 + 7c = 0 + -2b 15a + 7c = 0 + -2b Remove the zero: 15a + 7c = -2b Add '-7c' to each side of the equation. 15a + 7c + -7c = -2b + -7c Combine like terms: 7c + -7c = 0 15a + 0 = -2b + -7c 15a = -2b + -7c Divide each side by '15'. a = -0.1333333333b + -0.4666666667c Simplifying a = -0.1333333333b + -0.4666666667c
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