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Simplifying -2v + 41 = 5(v + -3) Reorder the terms: 41 + -2v = 5(v + -3) Reorder the terms: 41 + -2v = 5(-3 + v) 41 + -2v = (-3 * 5 + v * 5) 41 + -2v = (-15 + 5v) Solving 41 + -2v = -15 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 41 + -2v + -5v = -15 + 5v + -5v Combine like terms: -2v + -5v = -7v 41 + -7v = -15 + 5v + -5v Combine like terms: 5v + -5v = 0 41 + -7v = -15 + 0 41 + -7v = -15 Add '-41' to each side of the equation. 41 + -41 + -7v = -15 + -41 Combine like terms: 41 + -41 = 0 0 + -7v = -15 + -41 -7v = -15 + -41 Combine like terms: -15 + -41 = -56 -7v = -56 Divide each side by '-7'. v = 8 Simplifying v = 8
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