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Simplifying (5a + 3c) + -1(6a + -5c) = 0 Remove parenthesis around (5a + 3c) 5a + 3c + -1(6a + -5c) = 0 5a + 3c + (6a * -1 + -5c * -1) = 0 5a + 3c + (-6a + 5c) = 0 Reorder the terms: 5a + -6a + 3c + 5c = 0 Combine like terms: 5a + -6a = -1a -1a + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c -1a + 8c = 0 Solving -1a + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8c' to each side of the equation. -1a + 8c + -8c = 0 + -8c Combine like terms: 8c + -8c = 0 -1a + 0 = 0 + -8c -1a = 0 + -8c Remove the zero: -1a = -8c Divide each side by '-1'. a = 8c Simplifying a = 8c
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