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Simplifying 2a + -1(4a + -2b) + -1(3a + -1b) = 0 2a + (4a * -1 + -2b * -1) + -1(3a + -1b) = 0 2a + (-4a + 2b) + -1(3a + -1b) = 0 2a + -4a + 2b + (3a * -1 + -1b * -1) = 0 2a + -4a + 2b + (-3a + 1b) = 0 Reorder the terms: 2a + -4a + -3a + 2b + 1b = 0 Combine like terms: 2a + -4a = -2a -2a + -3a + 2b + 1b = 0 Combine like terms: -2a + -3a = -5a -5a + 2b + 1b = 0 Combine like terms: 2b + 1b = 3b -5a + 3b = 0 Solving -5a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -5a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -5a + 0 = 0 + -3b -5a = 0 + -3b Remove the zero: -5a = -3b Divide each side by '-5'. a = 0.6b Simplifying a = 0.6b
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