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Simplifying 10a + b + -8a + 16b = 0 Reorder the terms: 10a + -8a + b + 16b = 0 Combine like terms: 10a + -8a = 2a 2a + b + 16b = 0 Combine like terms: b + 16b = 17b 2a + 17b = 0 Solving 2a + 17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17b' to each side of the equation. 2a + 17b + -17b = 0 + -17b Combine like terms: 17b + -17b = 0 2a + 0 = 0 + -17b 2a = 0 + -17b Remove the zero: 2a = -17b Divide each side by '2'. a = -8.5b Simplifying a = -8.5b
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