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Simplifying 0 = 4a + -5b + 6a + 7b Reorder the terms: 0 = 4a + 6a + -5b + 7b Combine like terms: 4a + 6a = 10a 0 = 10a + -5b + 7b Combine like terms: -5b + 7b = 2b 0 = 10a + 2b Solving 0 = 10a + 2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 0 + -10a = 10a + -10a + 2b Remove the zero: -10a = 10a + -10a + 2b Combine like terms: 10a + -10a = 0 -10a = 0 + 2b -10a = 2b Divide each side by '-10'. a = -0.2b Simplifying a = -0.2b
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