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