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Simplifying 7b + 2a + -1(3a + 2b) = 0 7b + 2a + (3a * -1 + 2b * -1) = 0 7b + 2a + (-3a + -2b) = 0 Reorder the terms: 2a + -3a + 7b + -2b = 0 Combine like terms: 2a + -3a = -1a -1a + 7b + -2b = 0 Combine like terms: 7b + -2b = 5b -1a + 5b = 0 Solving -1a + 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. -1a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 -1a + 0 = 0 + -5b -1a = 0 + -5b Remove the zero: -1a = -5b Divide each side by '-1'. a = 5b Simplifying a = 5b
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