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Simplifying -9v + 41 = -2(v + -3) Reorder the terms: 41 + -9v = -2(v + -3) Reorder the terms: 41 + -9v = -2(-3 + v) 41 + -9v = (-3 * -2 + v * -2) 41 + -9v = (6 + -2v) Solving 41 + -9v = 6 + -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 + -9v + 2v = 6 + -2v + 2v Combine like terms: -9v + 2v = -7v 41 + -7v = 6 + -2v + 2v Combine like terms: -2v + 2v = 0 41 + -7v = 6 + 0 41 + -7v = 6 Add '-41' to each side of the equation. 41 + -41 + -7v = 6 + -41 Combine like terms: 41 + -41 = 0 0 + -7v = 6 + -41 -7v = 6 + -41 Combine like terms: 6 + -41 = -35 -7v = -35 Divide each side by '-7'. v = 5 Simplifying v = 5
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