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Simplifying 12a + 5b + 7b + -4a = 0 Reorder the terms: 12a + -4a + 5b + 7b = 0 Combine like terms: 12a + -4a = 8a 8a + 5b + 7b = 0 Combine like terms: 5b + 7b = 12b 8a + 12b = 0 Solving 8a + 12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 8a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 8a + 0 = 0 + -12b 8a = 0 + -12b Remove the zero: 8a = -12b Divide each side by '8'. a = -1.5b Simplifying a = -1.5b
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