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Simplifying a + 7b + -6a + 13b = 0 Reorder the terms: a + -6a + 7b + 13b = 0 Combine like terms: a + -6a = -5a -5a + 7b + 13b = 0 Combine like terms: 7b + 13b = 20b -5a + 20b = 0 Solving -5a + 20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20b' to each side of the equation. -5a + 20b + -20b = 0 + -20b Combine like terms: 20b + -20b = 0 -5a + 0 = 0 + -20b -5a = 0 + -20b Remove the zero: -5a = -20b Divide each side by '-5'. a = 4b Simplifying a = 4b
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