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Simplifying 8a + 5b + 7c + -3a + -2b + -6c = 0 Reorder the terms: 8a + -3a + 5b + -2b + 7c + -6c = 0 Combine like terms: 8a + -3a = 5a 5a + 5b + -2b + 7c + -6c = 0 Combine like terms: 5b + -2b = 3b 5a + 3b + 7c + -6c = 0 Combine like terms: 7c + -6c = 1c 5a + 3b + 1c = 0 Solving 5a + 3b + 1c = 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. 5a + 3b + -3b + 1c = 0 + -3b Combine like terms: 3b + -3b = 0 5a + 0 + 1c = 0 + -3b 5a + 1c = 0 + -3b Remove the zero: 5a + 1c = -3b Add '-1c' to each side of the equation. 5a + 1c + -1c = -3b + -1c Combine like terms: 1c + -1c = 0 5a + 0 = -3b + -1c 5a = -3b + -1c Divide each side by '5'. a = -0.6b + -0.2c Simplifying a = -0.6b + -0.2c
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