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Simplifying 2(v + -3) = -5v + 22 Reorder the terms: 2(-3 + v) = -5v + 22 (-3 * 2 + v * 2) = -5v + 22 (-6 + 2v) = -5v + 22 Reorder the terms: -6 + 2v = 22 + -5v Solving -6 + 2v = 22 + -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 = 22 + -5v + 5v Combine like terms: 2v + 5v = 7v -6 + 7v = 22 + -5v + 5v Combine like terms: -5v + 5v = 0 -6 + 7v = 22 + 0 -6 + 7v = 22 Add '6' to each side of the equation. -6 + 6 + 7v = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 7v = 22 + 6 7v = 22 + 6 Combine like terms: 22 + 6 = 28 7v = 28 Divide each side by '7'. v = 4 Simplifying v = 4
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