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Simplifying (8a + -3b + -5c) + (-3a + 4b + -6c) = 0 Remove parenthesis around (8a + -3b + -5c) 8a + -3b + -5c + (-3a + 4b + -6c) = 0 Remove parenthesis around (-3a + 4b + -6c) 8a + -3b + -5c + -3a + 4b + -6c = 0 Reorder the terms: 8a + -3a + -3b + 4b + -5c + -6c = 0 Combine like terms: 8a + -3a = 5a 5a + -3b + 4b + -5c + -6c = 0 Combine like terms: -3b + 4b = 1b 5a + 1b + -5c + -6c = 0 Combine like terms: -5c + -6c = -11c 5a + 1b + -11c = 0 Solving 5a + 1b + -11c = 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. 5a + 1b + -1b + -11c = 0 + -1b Combine like terms: 1b + -1b = 0 5a + 0 + -11c = 0 + -1b 5a + -11c = 0 + -1b Remove the zero: 5a + -11c = -1b Add '11c' to each side of the equation. 5a + -11c + 11c = -1b + 11c Combine like terms: -11c + 11c = 0 5a + 0 = -1b + 11c 5a = -1b + 11c Divide each side by '5'. a = -0.2b + 2.2c Simplifying a = -0.2b + 2.2c
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