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Simplifying (-3a + 2b) + -1(-2a + -1b) + (-5a + 2b) = 0 Remove parenthesis around (-3a + 2b) -3a + 2b + -1(-2a + -1b) + (-5a + 2b) = 0 -3a + 2b + (-2a * -1 + -1b * -1) + (-5a + 2b) = 0 -3a + 2b + (2a + 1b) + (-5a + 2b) = 0 Remove parenthesis around (-5a + 2b) -3a + 2b + 2a + 1b + -5a + 2b = 0 Reorder the terms: -3a + 2a + -5a + 2b + 1b + 2b = 0 Combine like terms: -3a + 2a = -1a -1a + -5a + 2b + 1b + 2b = 0 Combine like terms: -1a + -5a = -6a -6a + 2b + 1b + 2b = 0 Combine like terms: 2b + 1b = 3b -6a + 3b + 2b = 0 Combine like terms: 3b + 2b = 5b -6a + 5b = 0 Solving -6a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. -6a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 -6a + 0 = 0 + -5b -6a = 0 + -5b Remove the zero: -6a = -5b Divide each side by '-6'. a = 0.8333333333b Simplifying a = 0.8333333333b
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