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Simplifying (5a + 5b) + (3a + 8b) = 0 Remove parenthesis around (5a + 5b) 5a + 5b + (3a + 8b) = 0 Remove parenthesis around (3a + 8b) 5a + 5b + 3a + 8b = 0 Reorder the terms: 5a + 3a + 5b + 8b = 0 Combine like terms: 5a + 3a = 8a 8a + 5b + 8b = 0 Combine like terms: 5b + 8b = 13b 8a + 13b = 0 Solving 8a + 13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. 8a + 13b + -13b = 0 + -13b Combine like terms: 13b + -13b = 0 8a + 0 = 0 + -13b 8a = 0 + -13b Remove the zero: 8a = -13b Divide each side by '8'. a = -1.625b Simplifying a = -1.625b
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