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Simplifying 13(a + -1b) + 8(a + b) = 0 (a * 13 + -1b * 13) + 8(a + b) = 0 (13a + -13b) + 8(a + b) = 0 13a + -13b + (a * 8 + b * 8) = 0 13a + -13b + (8a + 8b) = 0 Reorder the terms: 13a + 8a + -13b + 8b = 0 Combine like terms: 13a + 8a = 21a 21a + -13b + 8b = 0 Combine like terms: -13b + 8b = -5b 21a + -5b = 0 Solving 21a + -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. 21a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 21a + 0 = 0 + 5b 21a = 0 + 5b Remove the zero: 21a = 5b Divide each side by '21'. a = 0.2380952381b Simplifying a = 0.2380952381b
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