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Simplifying (3a + 6b) + (-5a + 2b) = 0 Remove parenthesis around (3a + 6b) 3a + 6b + (-5a + 2b) = 0 Remove parenthesis around (-5a + 2b) 3a + 6b + -5a + 2b = 0 Reorder the terms: 3a + -5a + 6b + 2b = 0 Combine like terms: 3a + -5a = -2a -2a + 6b + 2b = 0 Combine like terms: 6b + 2b = 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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