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Simplifying 12(3a + b) + -5(2a + -1b) = 0 (3a * 12 + b * 12) + -5(2a + -1b) = 0 (36a + 12b) + -5(2a + -1b) = 0 36a + 12b + (2a * -5 + -1b * -5) = 0 36a + 12b + (-10a + 5b) = 0 Reorder the terms: 36a + -10a + 12b + 5b = 0 Combine like terms: 36a + -10a = 26a 26a + 12b + 5b = 0 Combine like terms: 12b + 5b = 17b 26a + 17b = 0 Solving 26a + 17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17b' to each side of the equation. 26a + 17b + -17b = 0 + -17b Combine like terms: 17b + -17b = 0 26a + 0 = 0 + -17b 26a = 0 + -17b Remove the zero: 26a = -17b Divide each side by '26'. a = -0.6538461538b Simplifying a = -0.6538461538b
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