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Simplifying 7a + -1b + 3c + -2a + -3b + 5c = 0 Reorder the terms: 7a + -2a + -1b + -3b + 3c + 5c = 0 Combine like terms: 7a + -2a = 5a 5a + -1b + -3b + 3c + 5c = 0 Combine like terms: -1b + -3b = -4b 5a + -4b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c 5a + -4b + 8c = 0 Solving 5a + -4b + 8c = 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. 5a + -4b + 4b + 8c = 0 + 4b Combine like terms: -4b + 4b = 0 5a + 0 + 8c = 0 + 4b 5a + 8c = 0 + 4b Remove the zero: 5a + 8c = 4b Add '-8c' to each side of the equation. 5a + 8c + -8c = 4b + -8c Combine like terms: 8c + -8c = 0 5a + 0 = 4b + -8c 5a = 4b + -8c Divide each side by '5'. a = 0.8b + -1.6c Simplifying a = 0.8b + -1.6c
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