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Simplifying 2(v + -2) = -5v + 45 Reorder the terms: 2(-2 + v) = -5v + 45 (-2 * 2 + v * 2) = -5v + 45 (-4 + 2v) = -5v + 45 Reorder the terms: -4 + 2v = 45 + -5v Solving -4 + 2v = 45 + -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. -4 + 2v + 5v = 45 + -5v + 5v Combine like terms: 2v + 5v = 7v -4 + 7v = 45 + -5v + 5v Combine like terms: -5v + 5v = 0 -4 + 7v = 45 + 0 -4 + 7v = 45 Add '4' to each side of the equation. -4 + 4 + 7v = 45 + 4 Combine like terms: -4 + 4 = 0 0 + 7v = 45 + 4 7v = 45 + 4 Combine like terms: 45 + 4 = 49 7v = 49 Divide each side by '7'. v = 7 Simplifying v = 7
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