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