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Simplifying 3a + 5b + -1a + b + 8 = 0 Reorder the terms: 8 + 3a + -1a + 5b + b = 0 Combine like terms: 3a + -1a = 2a 8 + 2a + 5b + b = 0 Combine like terms: 5b + b = 6b 8 + 2a + 6b = 0 Solving 8 + 2a + 6b = 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 + 6b = 0 + -8 Reorder the terms: 8 + -8 + 2a + 6b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2a + 6b = 0 + -8 2a + 6b = 0 + -8 Combine like terms: 0 + -8 = -8 2a + 6b = -8 Add '-6b' to each side of the equation. 2a + 6b + -6b = -8 + -6b Combine like terms: 6b + -6b = 0 2a + 0 = -8 + -6b 2a = -8 + -6b Divide each side by '2'. a = -4 + -3b Simplifying a = -4 + -3b
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