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Simplifying 2v + -34 = 4(v + -9) Reorder the terms: -34 + 2v = 4(v + -9) Reorder the terms: -34 + 2v = 4(-9 + v) -34 + 2v = (-9 * 4 + v * 4) -34 + 2v = (-36 + 4v) Solving -34 + 2v = -36 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -34 + 2v + -4v = -36 + 4v + -4v Combine like terms: 2v + -4v = -2v -34 + -2v = -36 + 4v + -4v Combine like terms: 4v + -4v = 0 -34 + -2v = -36 + 0 -34 + -2v = -36 Add '34' to each side of the equation. -34 + 34 + -2v = -36 + 34 Combine like terms: -34 + 34 = 0 0 + -2v = -36 + 34 -2v = -36 + 34 Combine like terms: -36 + 34 = -2 -2v = -2 Divide each side by '-2'. v = 1 Simplifying v = 1
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