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Simplifying 3a + 5a + 7b + -2b = 0 Combine like terms: 3a + 5a = 8a 8a + 7b + -2b = 0 Combine like terms: 7b + -2b = 5b 8a + 5b = 0 Solving 8a + 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. 8a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 8a + 0 = 0 + -5b 8a = 0 + -5b Remove the zero: 8a = -5b Divide each side by '8'. a = -0.625b Simplifying a = -0.625b
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