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Simplifying 5v + -34 = -6(v + 2) Reorder the terms: -34 + 5v = -6(v + 2) Reorder the terms: -34 + 5v = -6(2 + v) -34 + 5v = (2 * -6 + v * -6) -34 + 5v = (-12 + -6v) Solving -34 + 5v = -12 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -34 + 5v + 6v = -12 + -6v + 6v Combine like terms: 5v + 6v = 11v -34 + 11v = -12 + -6v + 6v Combine like terms: -6v + 6v = 0 -34 + 11v = -12 + 0 -34 + 11v = -12 Add '34' to each side of the equation. -34 + 34 + 11v = -12 + 34 Combine like terms: -34 + 34 = 0 0 + 11v = -12 + 34 11v = -12 + 34 Combine like terms: -12 + 34 = 22 11v = 22 Divide each side by '11'. v = 2 Simplifying v = 2
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