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Simplifying -2a + 13b + 7a + -8b = 0 Reorder the terms: -2a + 7a + 13b + -8b = 0 Combine like terms: -2a + 7a = 5a 5a + 13b + -8b = 0 Combine like terms: 13b + -8b = 5b 5a + 5b = 0 Solving 5a + 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. 5a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 5a + 0 = 0 + -5b 5a = 0 + -5b Remove the zero: 5a = -5b Divide each side by '5'. a = -1b Simplifying a = -1b
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