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Simplifying 3v + 4q + -7 + -1v + -2q + 2 = 0 Reorder the terms: -7 + 2 + 4q + -2q + 3v + -1v = 0 Combine like terms: -7 + 2 = -5 -5 + 4q + -2q + 3v + -1v = 0 Combine like terms: 4q + -2q = 2q -5 + 2q + 3v + -1v = 0 Combine like terms: 3v + -1v = 2v -5 + 2q + 2v = 0 Solving -5 + 2q + 2v = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2q + 5 + 2v = 0 + 5 Reorder the terms: -5 + 5 + 2q + 2v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2q + 2v = 0 + 5 2q + 2v = 0 + 5 Combine like terms: 0 + 5 = 5 2q + 2v = 5 Add '-2v' to each side of the equation. 2q + 2v + -2v = 5 + -2v Combine like terms: 2v + -2v = 0 2q + 0 = 5 + -2v 2q = 5 + -2v Divide each side by '2'. q = 2.5 + -1v Simplifying q = 2.5 + -1v
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