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Simplifying 35a + -7b + -11c + -30a + -7b + 40c = 0 Reorder the terms: 35a + -30a + -7b + -7b + -11c + 40c = 0 Combine like terms: 35a + -30a = 5a 5a + -7b + -7b + -11c + 40c = 0 Combine like terms: -7b + -7b = -14b 5a + -14b + -11c + 40c = 0 Combine like terms: -11c + 40c = 29c 5a + -14b + 29c = 0 Solving 5a + -14b + 29c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14b' to each side of the equation. 5a + -14b + 14b + 29c = 0 + 14b Combine like terms: -14b + 14b = 0 5a + 0 + 29c = 0 + 14b 5a + 29c = 0 + 14b Remove the zero: 5a + 29c = 14b Add '-29c' to each side of the equation. 5a + 29c + -29c = 14b + -29c Combine like terms: 29c + -29c = 0 5a + 0 = 14b + -29c 5a = 14b + -29c Divide each side by '5'. a = 2.8b + -5.8c Simplifying a = 2.8b + -5.8c
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