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Simplifying 12a + 5b + 3a + 7b = 0 Reorder the terms: 12a + 3a + 5b + 7b = 0 Combine like terms: 12a + 3a = 15a 15a + 5b + 7b = 0 Combine like terms: 5b + 7b = 12b 15a + 12b = 0 Solving 15a + 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. 15a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 15a + 0 = 0 + -12b 15a = 0 + -12b Remove the zero: 15a = -12b Divide each side by '15'. a = -0.8b Simplifying a = -0.8b
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