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Simplifying 12b + 7a + 3b + -1a = 0 Reorder the terms: 7a + -1a + 12b + 3b = 0 Combine like terms: 7a + -1a = 6a 6a + 12b + 3b = 0 Combine like terms: 12b + 3b = 15b 6a + 15b = 0 Solving 6a + 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. 6a + 15b + -15b = 0 + -15b Combine like terms: 15b + -15b = 0 6a + 0 = 0 + -15b 6a = 0 + -15b Remove the zero: 6a = -15b Divide each side by '6'. a = -2.5b Simplifying a = -2.5b
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