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Simplifying -2v + 47 = 3(v + 9) Reorder the terms: 47 + -2v = 3(v + 9) Reorder the terms: 47 + -2v = 3(9 + v) 47 + -2v = (9 * 3 + v * 3) 47 + -2v = (27 + 3v) Solving 47 + -2v = 27 + 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. 47 + -2v + -3v = 27 + 3v + -3v Combine like terms: -2v + -3v = -5v 47 + -5v = 27 + 3v + -3v Combine like terms: 3v + -3v = 0 47 + -5v = 27 + 0 47 + -5v = 27 Add '-47' to each side of the equation. 47 + -47 + -5v = 27 + -47 Combine like terms: 47 + -47 = 0 0 + -5v = 27 + -47 -5v = 27 + -47 Combine like terms: 27 + -47 = -20 -5v = -20 Divide each side by '-5'. v = 4 Simplifying v = 4
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