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Simplifying a + 4b + -7a + 8b = 0 Reorder the terms: a + -7a + 4b + 8b = 0 Combine like terms: a + -7a = -6a -6a + 4b + 8b = 0 Combine like terms: 4b + 8b = 12b -6a + 12b = 0 Solving -6a + 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. -6a + 12b + -12b = 0 + -12b Combine like terms: 12b + -12b = 0 -6a + 0 = 0 + -12b -6a = 0 + -12b Remove the zero: -6a = -12b Divide each side by '-6'. a = 2b Simplifying a = 2b
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