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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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