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Simplifying 3a + 2b + -1(5a + b) = 0 3a + 2b + (5a * -1 + b * -1) = 0 3a + 2b + (-5a + -1b) = 0 Reorder the terms: 3a + -5a + 2b + -1b = 0 Combine like terms: 3a + -5a = -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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