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Simplifying 3a + 2b + 7a + -1b = 0 Reorder the terms: 3a + 7a + 2b + -1b = 0 Combine like terms: 3a + 7a = 10a 10a + 2b + -1b = 0 Combine like terms: 2b + -1b = 1b 10a + 1b = 0 Solving 10a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 10a + 1b + -1b = 0 + -1b Combine like terms: 1b + -1b = 0 10a + 0 = 0 + -1b 10a = 0 + -1b Remove the zero: 10a = -1b Divide each side by '10'. a = -0.1b Simplifying a = -0.1b
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