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Simplifying 5v + 34 = -2(v + 4) Reorder the terms: 34 + 5v = -2(v + 4) Reorder the terms: 34 + 5v = -2(4 + v) 34 + 5v = (4 * -2 + v * -2) 34 + 5v = (-8 + -2v) Solving 34 + 5v = -8 + -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 + 5v + 2v = -8 + -2v + 2v Combine like terms: 5v + 2v = 7v 34 + 7v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 34 + 7v = -8 + 0 34 + 7v = -8 Add '-34' to each side of the equation. 34 + -34 + 7v = -8 + -34 Combine like terms: 34 + -34 = 0 0 + 7v = -8 + -34 7v = -8 + -34 Combine like terms: -8 + -34 = -42 7v = -42 Divide each side by '7'. v = -6 Simplifying v = -6
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