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Simplifying 6a + 5b + 4a + 7b = 0 Reorder the terms: 6a + 4a + 5b + 7b = 0 Combine like terms: 6a + 4a = 10a 10a + 5b + 7b = 0 Combine like terms: 5b + 7b = 12b 10a + 12b = 0 Solving 10a + 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. 10a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 10a + 0 = 0 + -12b 10a = 0 + -12b Remove the zero: 10a = -12b Divide each side by '10'. a = -1.2b Simplifying a = -1.2b
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