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