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Simplifying 1 = 3(v + 2) Reorder the terms: 1 = 3(2 + v) 1 = (2 * 3 + v * 3) 1 = (6 + 3v) Solving 1 = 6 + 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. 1 + -3v = 6 + 3v + -3v Combine like terms: 3v + -3v = 0 1 + -3v = 6 + 0 1 + -3v = 6 Add '-1' to each side of the equation. 1 + -1 + -3v = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -3v = 6 + -1 -3v = 6 + -1 Combine like terms: 6 + -1 = 5 -3v = 5 Divide each side by '-3'. v = -1.666666667 Simplifying v = -1.666666667
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