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Simplifying 2a + 3b + -1a + 4b + 6 = 0 Reorder the terms: 6 + 2a + -1a + 3b + 4b = 0 Combine like terms: 2a + -1a = 1a 6 + 1a + 3b + 4b = 0 Combine like terms: 3b + 4b = 7b 6 + 1a + 7b = 0 Solving 6 + 1a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 1a + -6 + 7b = 0 + -6 Reorder the terms: 6 + -6 + 1a + 7b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1a + 7b = 0 + -6 1a + 7b = 0 + -6 Combine like terms: 0 + -6 = -6 1a + 7b = -6 Add '-7b' to each side of the equation. 1a + 7b + -7b = -6 + -7b Combine like terms: 7b + -7b = 0 1a + 0 = -6 + -7b 1a = -6 + -7b Divide each side by '1'. a = -6 + -7b Simplifying a = -6 + -7b
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