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Simplifying 8v + 34 = 3(v + -2) Reorder the terms: 34 + 8v = 3(v + -2) Reorder the terms: 34 + 8v = 3(-2 + v) 34 + 8v = (-2 * 3 + v * 3) 34 + 8v = (-6 + 3v) Solving 34 + 8v = -6 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 34 + 8v + -3v = -6 + 3v + -3v Combine like terms: 8v + -3v = 5v 34 + 5v = -6 + 3v + -3v Combine like terms: 3v + -3v = 0 34 + 5v = -6 + 0 34 + 5v = -6 Add '-34' to each side of the equation. 34 + -34 + 5v = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 5v = -6 + -34 5v = -6 + -34 Combine like terms: -6 + -34 = -40 5v = -40 Divide each side by '5'. v = -8 Simplifying v = -8
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