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Simplifying (11a + -7b + 4c) + -1(6a + b + 8c) = 0 Remove parenthesis around (11a + -7b + 4c) 11a + -7b + 4c + -1(6a + b + 8c) = 0 11a + -7b + 4c + (6a * -1 + b * -1 + 8c * -1) = 0 11a + -7b + 4c + (-6a + -1b + -8c) = 0 Reorder the terms: 11a + -6a + -7b + -1b + 4c + -8c = 0 Combine like terms: 11a + -6a = 5a 5a + -7b + -1b + 4c + -8c = 0 Combine like terms: -7b + -1b = -8b 5a + -8b + 4c + -8c = 0 Combine like terms: 4c + -8c = -4c 5a + -8b + -4c = 0 Solving 5a + -8b + -4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. 5a + -8b + 8b + -4c = 0 + 8b Combine like terms: -8b + 8b = 0 5a + 0 + -4c = 0 + 8b 5a + -4c = 0 + 8b Remove the zero: 5a + -4c = 8b Add '4c' to each side of the equation. 5a + -4c + 4c = 8b + 4c Combine like terms: -4c + 4c = 0 5a + 0 = 8b + 4c 5a = 8b + 4c Divide each side by '5'. a = 1.6b + 0.8c Simplifying a = 1.6b + 0.8c
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