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Simplifying (3a + -4b) + -1(2a + 5b) = 0 Remove parenthesis around (3a + -4b) 3a + -4b + -1(2a + 5b) = 0 3a + -4b + (2a * -1 + 5b * -1) = 0 3a + -4b + (-2a + -5b) = 0 Reorder the terms: 3a + -2a + -4b + -5b = 0 Combine like terms: 3a + -2a = 1a 1a + -4b + -5b = 0 Combine like terms: -4b + -5b = -9b 1a + -9b = 0 Solving 1a + -9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 1a + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 1a + 0 = 0 + 9b 1a = 0 + 9b Remove the zero: 1a = 9b Divide each side by '1'. a = 9b Simplifying a = 9b
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