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Simplifying (5a + 2b) + -1(3a + b) = 0 Remove parenthesis around (5a + 2b) 5a + 2b + -1(3a + b) = 0 5a + 2b + (3a * -1 + b * -1) = 0 5a + 2b + (-3a + -1b) = 0 Reorder the terms: 5a + -3a + 2b + -1b = 0 Combine like terms: 5a + -3a = 2a 2a + 2b + -1b = 0 Combine like terms: 2b + -1b = 1b 2a + 1b = 0 Solving 2a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 2a + 1b + -1b = 0 + -1b Combine like terms: 1b + -1b = 0 2a + 0 = 0 + -1b 2a = 0 + -1b Remove the zero: 2a = -1b Divide each side by '2'. a = -0.5b Simplifying a = -0.5b
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