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Simplifying 3a + -1(a + -1b) + (2a + -3b) = 0 3a + (a * -1 + -1b * -1) + (2a + -3b) = 0 3a + (-1a + 1b) + (2a + -3b) = 0 Remove parenthesis around (2a + -3b) 3a + -1a + 1b + 2a + -3b = 0 Reorder the terms: 3a + -1a + 2a + 1b + -3b = 0 Combine like terms: 3a + -1a = 2a 2a + 2a + 1b + -3b = 0 Combine like terms: 2a + 2a = 4a 4a + 1b + -3b = 0 Combine like terms: 1b + -3b = -2b 4a + -2b = 0 Solving 4a + -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. 4a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 4a + 0 = 0 + 2b 4a = 0 + 2b Remove the zero: 4a = 2b Divide each side by '4'. a = 0.5b Simplifying a = 0.5b
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