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Simplifying 3(6a + -1b) + -6(7b + -2a) = 0 (6a * 3 + -1b * 3) + -6(7b + -2a) = 0 (18a + -3b) + -6(7b + -2a) = 0 Reorder the terms: 18a + -3b + -6(-2a + 7b) = 0 18a + -3b + (-2a * -6 + 7b * -6) = 0 18a + -3b + (12a + -42b) = 0 Reorder the terms: 18a + 12a + -3b + -42b = 0 Combine like terms: 18a + 12a = 30a 30a + -3b + -42b = 0 Combine like terms: -3b + -42b = -45b 30a + -45b = 0 Solving 30a + -45b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '45b' to each side of the equation. 30a + -45b + 45b = 0 + 45b Combine like terms: -45b + 45b = 0 30a + 0 = 0 + 45b 30a = 0 + 45b Remove the zero: 30a = 45b Divide each side by '30'. a = 1.5b Simplifying a = 1.5b
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