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Simplifying -3(a + 4b) + 2(2b + -1a) = 0 (a * -3 + 4b * -3) + 2(2b + -1a) = 0 (-3a + -12b) + 2(2b + -1a) = 0 Reorder the terms: -3a + -12b + 2(-1a + 2b) = 0 -3a + -12b + (-1a * 2 + 2b * 2) = 0 -3a + -12b + (-2a + 4b) = 0 Reorder the terms: -3a + -2a + -12b + 4b = 0 Combine like terms: -3a + -2a = -5a -5a + -12b + 4b = 0 Combine like terms: -12b + 4b = -8b -5a + -8b = 0 Solving -5a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. -5a + -8b + 8b = 0 + 8b Combine like terms: -8b + 8b = 0 -5a + 0 = 0 + 8b -5a = 0 + 8b Remove the zero: -5a = 8b Divide each side by '-5'. a = -1.6b Simplifying a = -1.6b
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