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Simplifying -34 = -3v + 5(v + -4) Reorder the terms: -34 = -3v + 5(-4 + v) -34 = -3v + (-4 * 5 + v * 5) -34 = -3v + (-20 + 5v) Reorder the terms: -34 = -20 + -3v + 5v Combine like terms: -3v + 5v = 2v -34 = -20 + 2v Solving -34 = -20 + 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. -34 + -2v = -20 + 2v + -2v Combine like terms: 2v + -2v = 0 -34 + -2v = -20 + 0 -34 + -2v = -20 Add '34' to each side of the equation. -34 + 34 + -2v = -20 + 34 Combine like terms: -34 + 34 = 0 0 + -2v = -20 + 34 -2v = -20 + 34 Combine like terms: -20 + 34 = 14 -2v = 14 Divide each side by '-2'. v = -7 Simplifying v = -7
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