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Simplifying (3a + -1b) * 2 + -4(a + b) = 0 Reorder the terms for easier multiplication: 2(3a + -1b) + -4(a + b) = 0 (3a * 2 + -1b * 2) + -4(a + b) = 0 (6a + -2b) + -4(a + b) = 0 6a + -2b + (a * -4 + b * -4) = 0 6a + -2b + (-4a + -4b) = 0 Reorder the terms: 6a + -4a + -2b + -4b = 0 Combine like terms: 6a + -4a = 2a 2a + -2b + -4b = 0 Combine like terms: -2b + -4b = -6b 2a + -6b = 0 Solving 2a + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. 2a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 2a + 0 = 0 + 6b 2a = 0 + 6b Remove the zero: 2a = 6b Divide each side by '2'. a = 3b Simplifying a = 3b
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