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Simplifying 8a + b + -1c + -7a = 0 Reorder the terms: 8a + -7a + b + -1c = 0 Combine like terms: 8a + -7a = 1a 1a + b + -1c = 0 Solving 1a + b + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 1a + b + -1b + -1c = 0 + -1b Combine like terms: b + -1b = 0 1a + 0 + -1c = 0 + -1b 1a + -1c = 0 + -1b Remove the zero: 1a + -1c = -1b Add 'c' to each side of the equation. 1a + -1c + c = -1b + c Combine like terms: -1c + c = 0 1a + 0 = -1b + c 1a = -1b + c Divide each side by '1'. a = -1b + c Simplifying a = -1b + c
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