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Simplifying 7v + 41 = -2(v + -7) Reorder the terms: 41 + 7v = -2(v + -7) Reorder the terms: 41 + 7v = -2(-7 + v) 41 + 7v = (-7 * -2 + v * -2) 41 + 7v = (14 + -2v) Solving 41 + 7v = 14 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 41 + 7v + 2v = 14 + -2v + 2v Combine like terms: 7v + 2v = 9v 41 + 9v = 14 + -2v + 2v Combine like terms: -2v + 2v = 0 41 + 9v = 14 + 0 41 + 9v = 14 Add '-41' to each side of the equation. 41 + -41 + 9v = 14 + -41 Combine like terms: 41 + -41 = 0 0 + 9v = 14 + -41 9v = 14 + -41 Combine like terms: 14 + -41 = -27 9v = -27 Divide each side by '9'. v = -3 Simplifying v = -3
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