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Simplifying 8a + -6b + -3a + 5b + -2a + 3b + a = 0 Reorder the terms: 8a + -3a + -2a + a + -6b + 5b + 3b = 0 Combine like terms: 8a + -3a = 5a 5a + -2a + a + -6b + 5b + 3b = 0 Combine like terms: 5a + -2a = 3a 3a + a + -6b + 5b + 3b = 0 Combine like terms: 3a + a = 4a 4a + -6b + 5b + 3b = 0 Combine like terms: -6b + 5b = -1b 4a + -1b + 3b = 0 Combine like terms: -1b + 3b = 2b 4a + 2b = 0 Solving 4a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 4a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 4a + 0 = 0 + -2b 4a = 0 + -2b Remove the zero: 4a = -2b Divide each side by '4'. a = -0.5b Simplifying a = -0.5b
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