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Simplifying (-5a + 3b) + -1(-3a + 2b) = 0 Remove parenthesis around (-5a + 3b) -5a + 3b + -1(-3a + 2b) = 0 -5a + 3b + (-3a * -1 + 2b * -1) = 0 -5a + 3b + (3a + -2b) = 0 Reorder the terms: -5a + 3a + 3b + -2b = 0 Combine like terms: -5a + 3a = -2a -2a + 3b + -2b = 0 Combine like terms: 3b + -2b = 1b -2a + 1b = 0 Solving -2a + 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. -2a + 1b + -1b = 0 + -1b Combine like terms: 1b + -1b = 0 -2a + 0 = 0 + -1b -2a = 0 + -1b Remove the zero: -2a = -1b Divide each side by '-2'. a = 0.5b Simplifying a = 0.5b
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