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Simplifying 3(2b + -1a) + -1(2a + -1b) = 0 Reorder the terms: 3(-1a + 2b) + -1(2a + -1b) = 0 (-1a * 3 + 2b * 3) + -1(2a + -1b) = 0 (-3a + 6b) + -1(2a + -1b) = 0 -3a + 6b + (2a * -1 + -1b * -1) = 0 -3a + 6b + (-2a + 1b) = 0 Reorder the terms: -3a + -2a + 6b + 1b = 0 Combine like terms: -3a + -2a = -5a -5a + 6b + 1b = 0 Combine like terms: 6b + 1b = 7b -5a + 7b = 0 Solving -5a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -5a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 -5a + 0 = 0 + -7b -5a = 0 + -7b Remove the zero: -5a = -7b Divide each side by '-5'. a = 1.4b Simplifying a = 1.4b
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