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Simplifying 6(v + 4) = 3v + 42 Reorder the terms: 6(4 + v) = 3v + 42 (4 * 6 + v * 6) = 3v + 42 (24 + 6v) = 3v + 42 Reorder the terms: 24 + 6v = 42 + 3v Solving 24 + 6v = 42 + 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. 24 + 6v + -3v = 42 + 3v + -3v Combine like terms: 6v + -3v = 3v 24 + 3v = 42 + 3v + -3v Combine like terms: 3v + -3v = 0 24 + 3v = 42 + 0 24 + 3v = 42 Add '-24' to each side of the equation. 24 + -24 + 3v = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 3v = 42 + -24 3v = 42 + -24 Combine like terms: 42 + -24 = 18 3v = 18 Divide each side by '3'. v = 6 Simplifying v = 6
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