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Simplifying -9v + -41 = -7(v + 5) Reorder the terms: -41 + -9v = -7(v + 5) Reorder the terms: -41 + -9v = -7(5 + v) -41 + -9v = (5 * -7 + v * -7) -41 + -9v = (-35 + -7v) Solving -41 + -9v = -35 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -41 + -9v + 7v = -35 + -7v + 7v Combine like terms: -9v + 7v = -2v -41 + -2v = -35 + -7v + 7v Combine like terms: -7v + 7v = 0 -41 + -2v = -35 + 0 -41 + -2v = -35 Add '41' to each side of the equation. -41 + 41 + -2v = -35 + 41 Combine like terms: -41 + 41 = 0 0 + -2v = -35 + 41 -2v = -35 + 41 Combine like terms: -35 + 41 = 6 -2v = 6 Divide each side by '-2'. v = -3 Simplifying v = -3
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