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Simplifying (-3a + -5b) + -1(2a + -3b) = 0 Remove parenthesis around (-3a + -5b) -3a + -5b + -1(2a + -3b) = 0 -3a + -5b + (2a * -1 + -3b * -1) = 0 -3a + -5b + (-2a + 3b) = 0 Reorder the terms: -3a + -2a + -5b + 3b = 0 Combine like terms: -3a + -2a = -5a -5a + -5b + 3b = 0 Combine like terms: -5b + 3b = -2b -5a + -2b = 0 Solving -5a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. -5a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 -5a + 0 = 0 + 2b -5a = 0 + 2b Remove the zero: -5a = 2b Divide each side by '-5'. a = -0.4b Simplifying a = -0.4b
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