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Simplifying 4v + 34 = -2(v + 1) Reorder the terms: 34 + 4v = -2(v + 1) Reorder the terms: 34 + 4v = -2(1 + v) 34 + 4v = (1 * -2 + v * -2) 34 + 4v = (-2 + -2v) Solving 34 + 4v = -2 + -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 + 4v + 2v = -2 + -2v + 2v Combine like terms: 4v + 2v = 6v 34 + 6v = -2 + -2v + 2v Combine like terms: -2v + 2v = 0 34 + 6v = -2 + 0 34 + 6v = -2 Add '-34' to each side of the equation. 34 + -34 + 6v = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 6v = -2 + -34 6v = -2 + -34 Combine like terms: -2 + -34 = -36 6v = -36 Divide each side by '6'. v = -6 Simplifying v = -6
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