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Simplifying (5a + 2b) + -1(3a + -7b + 2c) = 0 Remove parenthesis around (5a + 2b) 5a + 2b + -1(3a + -7b + 2c) = 0 5a + 2b + (3a * -1 + -7b * -1 + 2c * -1) = 0 5a + 2b + (-3a + 7b + -2c) = 0 Reorder the terms: 5a + -3a + 2b + 7b + -2c = 0 Combine like terms: 5a + -3a = 2a 2a + 2b + 7b + -2c = 0 Combine like terms: 2b + 7b = 9b 2a + 9b + -2c = 0 Solving 2a + 9b + -2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 2a + 9b + -9b + -2c = 0 + -9b Combine like terms: 9b + -9b = 0 2a + 0 + -2c = 0 + -9b 2a + -2c = 0 + -9b Remove the zero: 2a + -2c = -9b Add '2c' to each side of the equation. 2a + -2c + 2c = -9b + 2c Combine like terms: -2c + 2c = 0 2a + 0 = -9b + 2c 2a = -9b + 2c Divide each side by '2'. a = -4.5b + c Simplifying a = -4.5b + c
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