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Simplifying (6a + 3b) + (-3a + b) = 0 Remove parenthesis around (6a + 3b) 6a + 3b + (-3a + b) = 0 Remove parenthesis around (-3a + b) 6a + 3b + -3a + b = 0 Reorder the terms: 6a + -3a + 3b + b = 0 Combine like terms: 6a + -3a = 3a 3a + 3b + b = 0 Combine like terms: 3b + b = 4b 3a + 4b = 0 Solving 3a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 3a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 3a + 0 = 0 + -4b 3a = 0 + -4b Remove the zero: 3a = -4b Divide each side by '3'. a = -1.333333333b Simplifying a = -1.333333333b
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