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Simplifying (6a + 3b) + (5b + -8a) = 0 Remove parenthesis around (6a + 3b) 6a + 3b + (5b + -8a) = 0 Reorder the terms: 6a + 3b + (-8a + 5b) = 0 Remove parenthesis around (-8a + 5b) 6a + 3b + -8a + 5b = 0 Reorder the terms: 6a + -8a + 3b + 5b = 0 Combine like terms: 6a + -8a = -2a -2a + 3b + 5b = 0 Combine like terms: 3b + 5b = 8b -2a + 8b = 0 Solving -2a + 8b = 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. -2a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 -2a + 0 = 0 + -8b -2a = 0 + -8b Remove the zero: -2a = -8b Divide each side by '-2'. a = 4b Simplifying a = 4b
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