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Simplifying 4a + 3b + -2a + 7b = 0 Reorder the terms: 4a + -2a + 3b + 7b = 0 Combine like terms: 4a + -2a = 2a 2a + 3b + 7b = 0 Combine like terms: 3b + 7b = 10b 2a + 10b = 0 Solving 2a + 10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 2a + 10b + -10b = 0 + -10b Combine like terms: 10b + -10b = 0 2a + 0 = 0 + -10b 2a = 0 + -10b Remove the zero: 2a = -10b Divide each side by '2'. a = -5b Simplifying a = -5b
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