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Simplifying 7a + b + 5b + -2a + -3b + 4a = 0 Reorder the terms: 7a + -2a + 4a + b + 5b + -3b = 0 Combine like terms: 7a + -2a = 5a 5a + 4a + b + 5b + -3b = 0 Combine like terms: 5a + 4a = 9a 9a + b + 5b + -3b = 0 Combine like terms: b + 5b = 6b 9a + 6b + -3b = 0 Combine like terms: 6b + -3b = 3b 9a + 3b = 0 Solving 9a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 9a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 9a + 0 = 0 + -3b 9a = 0 + -3b Remove the zero: 9a = -3b Divide each side by '9'. a = -0.3333333333b Simplifying a = -0.3333333333b
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