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Simplifying 42 = 6(v + 2) Reorder the terms: 42 = 6(2 + v) 42 = (2 * 6 + v * 6) 42 = (12 + 6v) Solving 42 = 12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 42 + -6v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 42 + -6v = 12 + 0 42 + -6v = 12 Add '-42' to each side of the equation. 42 + -42 + -6v = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -6v = 12 + -42 -6v = 12 + -42 Combine like terms: 12 + -42 = -30 -6v = -30 Divide each side by '-6'. v = 5 Simplifying v = 5
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