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