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Simplifying 7a + b + -3a + 4a + -2b = 0 Reorder the terms: 7a + -3a + 4a + b + -2b = 0 Combine like terms: 7a + -3a = 4a 4a + 4a + b + -2b = 0 Combine like terms: 4a + 4a = 8a 8a + b + -2b = 0 Combine like terms: b + -2b = -1b 8a + -1b = 0 Solving 8a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 8a + -1b + b = 0 + b Combine like terms: -1b + b = 0 8a + 0 = 0 + b 8a = 0 + b Remove the zero: 8a = b Divide each side by '8'. a = 0.125b Simplifying a = 0.125b
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