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Simplifying 5a + 7b + 8a + 5b = 0 Reorder the terms: 5a + 8a + 7b + 5b = 0 Combine like terms: 5a + 8a = 13a 13a + 7b + 5b = 0 Combine like terms: 7b + 5b = 12b 13a + 12b = 0 Solving 13a + 12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 13a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 13a + 0 = 0 + -12b 13a = 0 + -12b Remove the zero: 13a = -12b Divide each side by '13'. a = -0.9230769231b Simplifying a = -0.9230769231b
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