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