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Simplifying 3a + 2b + 2 + -1a + 6b + 11 = 0 Reorder the terms: 2 + 11 + 3a + -1a + 2b + 6b = 0 Combine like terms: 2 + 11 = 13 13 + 3a + -1a + 2b + 6b = 0 Combine like terms: 3a + -1a = 2a 13 + 2a + 2b + 6b = 0 Combine like terms: 2b + 6b = 8b 13 + 2a + 8b = 0 Solving 13 + 2a + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 2a + -13 + 8b = 0 + -13 Reorder the terms: 13 + -13 + 2a + 8b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2a + 8b = 0 + -13 2a + 8b = 0 + -13 Combine like terms: 0 + -13 = -13 2a + 8b = -13 Add '-8b' to each side of the equation. 2a + 8b + -8b = -13 + -8b Combine like terms: 8b + -8b = 0 2a + 0 = -13 + -8b 2a = -13 + -8b Divide each side by '2'. a = -6.5 + -4b Simplifying a = -6.5 + -4b
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