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Simplifying 5a + -3b + 7b + 8a = 0 Reorder the terms: 5a + 8a + -3b + 7b = 0 Combine like terms: 5a + 8a = 13a 13a + -3b + 7b = 0 Combine like terms: -3b + 7b = 4b 13a + 4b = 0 Solving 13a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 13a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 13a + 0 = 0 + -4b 13a = 0 + -4b Remove the zero: 13a = -4b Divide each side by '13'. a = -0.3076923077b Simplifying a = -0.3076923077b
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