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Simplifying (7b + -2a) + -1(5b + 3a) = 0 Reorder the terms: (-2a + 7b) + -1(5b + 3a) = 0 Remove parenthesis around (-2a + 7b) -2a + 7b + -1(5b + 3a) = 0 Reorder the terms: -2a + 7b + -1(3a + 5b) = 0 -2a + 7b + (3a * -1 + 5b * -1) = 0 -2a + 7b + (-3a + -5b) = 0 Reorder the terms: -2a + -3a + 7b + -5b = 0 Combine like terms: -2a + -3a = -5a -5a + 7b + -5b = 0 Combine like terms: 7b + -5b = 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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