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Simplifying (3a + b) + -1(-9a + 4b) = 0 Remove parenthesis around (3a + b) 3a + b + -1(-9a + 4b) = 0 3a + b + (-9a * -1 + 4b * -1) = 0 3a + b + (9a + -4b) = 0 Reorder the terms: 3a + 9a + b + -4b = 0 Combine like terms: 3a + 9a = 12a 12a + b + -4b = 0 Combine like terms: b + -4b = -3b 12a + -3b = 0 Solving 12a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 12a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 12a + 0 = 0 + 3b 12a = 0 + 3b Remove the zero: 12a = 3b Divide each side by '12'. a = 0.25b Simplifying a = 0.25b
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