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Simplifying 12b + -7a + 3b + a = 0 Reorder the terms: -7a + a + 12b + 3b = 0 Combine like terms: -7a + a = -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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