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Simplifying 3a + -5b + 7a + -2a = 0 Reorder the terms: 3a + 7a + -2a + -5b = 0 Combine like terms: 3a + 7a = 10a 10a + -2a + -5b = 0 Combine like terms: 10a + -2a = 8a 8a + -5b = 0 Solving 8a + -5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 8a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 8a + 0 = 0 + 5b 8a = 0 + 5b Remove the zero: 8a = 5b Divide each side by '8'. a = 0.625b Simplifying a = 0.625b
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