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Simplifying 4a + 5b + -6a + 7b = 0 Reorder the terms: 4a + -6a + 5b + 7b = 0 Combine like terms: 4a + -6a = -2a -2a + 5b + 7b = 0 Combine like terms: 5b + 7b = 12b -2a + 12b = 0 Solving -2a + 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. -2a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 -2a + 0 = 0 + -12b -2a = 0 + -12b Remove the zero: -2a = -12b Divide each side by '-2'. a = 6b Simplifying a = 6b
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