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Simplifying 2 = 3(v + 2) + -7v Reorder the terms: 2 = 3(2 + v) + -7v 2 = (2 * 3 + v * 3) + -7v 2 = (6 + 3v) + -7v Combine like terms: 3v + -7v = -4v 2 = 6 + -4v Solving 2 = 6 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 2 + 4v = 6 + -4v + 4v Combine like terms: -4v + 4v = 0 2 + 4v = 6 + 0 2 + 4v = 6 Add '-2' to each side of the equation. 2 + -2 + 4v = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 4v = 6 + -2 4v = 6 + -2 Combine like terms: 6 + -2 = 4 4v = 4 Divide each side by '4'. v = 1 Simplifying v = 1
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