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