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Simplifying 7b + 2a + -4v + 6 = 0 Reorder the terms: 6 + 2a + 7b + -4v = 0 Solving 6 + 2a + 7b + -4v = 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 + 2a + 7b + -6 + -4v = 0 + -6 Reorder the terms: 6 + -6 + 2a + 7b + -4v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2a + 7b + -4v = 0 + -6 2a + 7b + -4v = 0 + -6 Combine like terms: 0 + -6 = -6 2a + 7b + -4v = -6 Add '-7b' to each side of the equation. 2a + 7b + -7b + -4v = -6 + -7b Combine like terms: 7b + -7b = 0 2a + 0 + -4v = -6 + -7b 2a + -4v = -6 + -7b Add '4v' to each side of the equation. 2a + -4v + 4v = -6 + -7b + 4v Combine like terms: -4v + 4v = 0 2a + 0 = -6 + -7b + 4v 2a = -6 + -7b + 4v Divide each side by '2'. a = -3 + -3.5b + 2v Simplifying a = -3 + -3.5b + 2v
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