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