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Simplifying (7a + -3b + 2c) + (4a + -1b + -9c) = 0 Remove parenthesis around (7a + -3b + 2c) 7a + -3b + 2c + (4a + -1b + -9c) = 0 Remove parenthesis around (4a + -1b + -9c) 7a + -3b + 2c + 4a + -1b + -9c = 0 Reorder the terms: 7a + 4a + -3b + -1b + 2c + -9c = 0 Combine like terms: 7a + 4a = 11a 11a + -3b + -1b + 2c + -9c = 0 Combine like terms: -3b + -1b = -4b 11a + -4b + 2c + -9c = 0 Combine like terms: 2c + -9c = -7c 11a + -4b + -7c = 0 Solving 11a + -4b + -7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 11a + -4b + 4b + -7c = 0 + 4b Combine like terms: -4b + 4b = 0 11a + 0 + -7c = 0 + 4b 11a + -7c = 0 + 4b Remove the zero: 11a + -7c = 4b Add '7c' to each side of the equation. 11a + -7c + 7c = 4b + 7c Combine like terms: -7c + 7c = 0 11a + 0 = 4b + 7c 11a = 4b + 7c Divide each side by '11'. a = 0.3636363636b + 0.6363636364c Simplifying a = 0.3636363636b + 0.6363636364c
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