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Simplifying 3(2a + b) + 6(a + -2b) = 0 (2a * 3 + b * 3) + 6(a + -2b) = 0 (6a + 3b) + 6(a + -2b) = 0 6a + 3b + (a * 6 + -2b * 6) = 0 6a + 3b + (6a + -12b) = 0 Reorder the terms: 6a + 6a + 3b + -12b = 0 Combine like terms: 6a + 6a = 12a 12a + 3b + -12b = 0 Combine like terms: 3b + -12b = -9b 12a + -9b = 0 Solving 12a + -9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 12a + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 12a + 0 = 0 + 9b 12a = 0 + 9b Remove the zero: 12a = 9b Divide each side by '12'. a = 0.75b Simplifying a = 0.75b
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