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Simplifying 9a + 14b + b + -7a = 0 Reorder the terms: 9a + -7a + 14b + b = 0 Combine like terms: 9a + -7a = 2a 2a + 14b + b = 0 Combine like terms: 14b + b = 15b 2a + 15b = 0 Solving 2a + 15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. 2a + 15b + -15b = 0 + -15b Combine like terms: 15b + -15b = 0 2a + 0 = 0 + -15b 2a = 0 + -15b Remove the zero: 2a = -15b Divide each side by '2'. a = -7.5b Simplifying a = -7.5b
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