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Simplifying 7a + b + -3c + 2a + -4b + -1c = 0 Reorder the terms: 7a + 2a + b + -4b + -3c + -1c = 0 Combine like terms: 7a + 2a = 9a 9a + b + -4b + -3c + -1c = 0 Combine like terms: b + -4b = -3b 9a + -3b + -3c + -1c = 0 Combine like terms: -3c + -1c = -4c 9a + -3b + -4c = 0 Solving 9a + -3b + -4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 9a + -3b + 3b + -4c = 0 + 3b Combine like terms: -3b + 3b = 0 9a + 0 + -4c = 0 + 3b 9a + -4c = 0 + 3b Remove the zero: 9a + -4c = 3b Add '4c' to each side of the equation. 9a + -4c + 4c = 3b + 4c Combine like terms: -4c + 4c = 0 9a + 0 = 3b + 4c 9a = 3b + 4c Divide each side by '9'. a = 0.3333333333b + 0.4444444444c Simplifying a = 0.3333333333b + 0.4444444444c
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