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Simplifying 3a + 5b + -6a + 7b = 0 Reorder the terms: 3a + -6a + 5b + 7b = 0 Combine like terms: 3a + -6a = -3a -3a + 5b + 7b = 0 Combine like terms: 5b + 7b = 12b -3a + 12b = 0 Solving -3a + 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. -3a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 -3a + 0 = 0 + -12b -3a = 0 + -12b Remove the zero: -3a = -12b Divide each side by '-3'. a = 4b Simplifying a = 4b
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