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Simplifying 3(4a + -1b) + -3(4b + -2a) = 0 (4a * 3 + -1b * 3) + -3(4b + -2a) = 0 (12a + -3b) + -3(4b + -2a) = 0 Reorder the terms: 12a + -3b + -3(-2a + 4b) = 0 12a + -3b + (-2a * -3 + 4b * -3) = 0 12a + -3b + (6a + -12b) = 0 Reorder the terms: 12a + 6a + -3b + -12b = 0 Combine like terms: 12a + 6a = 18a 18a + -3b + -12b = 0 Combine like terms: -3b + -12b = -15b 18a + -15b = 0 Solving 18a + -15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15b' to each side of the equation. 18a + -15b + 15b = 0 + 15b Combine like terms: -15b + 15b = 0 18a + 0 = 0 + 15b 18a = 0 + 15b Remove the zero: 18a = 15b Divide each side by '18'. a = 0.8333333333b Simplifying a = 0.8333333333b
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