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Simplifying 3(2b + -1a) + 2(b + a) = 0 Reorder the terms: 3(-1a + 2b) + 2(b + a) = 0 (-1a * 3 + 2b * 3) + 2(b + a) = 0 (-3a + 6b) + 2(b + a) = 0 Reorder the terms: -3a + 6b + 2(a + b) = 0 -3a + 6b + (a * 2 + b * 2) = 0 -3a + 6b + (2a + 2b) = 0 Reorder the terms: -3a + 2a + 6b + 2b = 0 Combine like terms: -3a + 2a = -1a -1a + 6b + 2b = 0 Combine like terms: 6b + 2b = 8b -1a + 8b = 0 Solving -1a + 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. -1a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 -1a + 0 = 0 + -8b -1a = 0 + -8b Remove the zero: -1a = -8b Divide each side by '-1'. a = 8b Simplifying a = 8b
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