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