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Simplifying 6(v + 2) = 3v + 30 Reorder the terms: 6(2 + v) = 3v + 30 (2 * 6 + v * 6) = 3v + 30 (12 + 6v) = 3v + 30 Reorder the terms: 12 + 6v = 30 + 3v Solving 12 + 6v = 30 + 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. 12 + 6v + -3v = 30 + 3v + -3v Combine like terms: 6v + -3v = 3v 12 + 3v = 30 + 3v + -3v Combine like terms: 3v + -3v = 0 12 + 3v = 30 + 0 12 + 3v = 30 Add '-12' to each side of the equation. 12 + -12 + 3v = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 3v = 30 + -12 3v = 30 + -12 Combine like terms: 30 + -12 = 18 3v = 18 Divide each side by '3'. v = 6 Simplifying v = 6
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