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