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Simplifying 3(v + 4) = -2v + 47 Reorder the terms: 3(4 + v) = -2v + 47 (4 * 3 + v * 3) = -2v + 47 (12 + 3v) = -2v + 47 Reorder the terms: 12 + 3v = 47 + -2v Solving 12 + 3v = 47 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 12 + 3v + 2v = 47 + -2v + 2v Combine like terms: 3v + 2v = 5v 12 + 5v = 47 + -2v + 2v Combine like terms: -2v + 2v = 0 12 + 5v = 47 + 0 12 + 5v = 47 Add '-12' to each side of the equation. 12 + -12 + 5v = 47 + -12 Combine like terms: 12 + -12 = 0 0 + 5v = 47 + -12 5v = 47 + -12 Combine like terms: 47 + -12 = 35 5v = 35 Divide each side by '5'. v = 7 Simplifying v = 7
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