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Simplifying -9v + 34 = -5(v + -6) Reorder the terms: 34 + -9v = -5(v + -6) Reorder the terms: 34 + -9v = -5(-6 + v) 34 + -9v = (-6 * -5 + v * -5) 34 + -9v = (30 + -5v) Solving 34 + -9v = 30 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 34 + -9v + 5v = 30 + -5v + 5v Combine like terms: -9v + 5v = -4v 34 + -4v = 30 + -5v + 5v Combine like terms: -5v + 5v = 0 34 + -4v = 30 + 0 34 + -4v = 30 Add '-34' to each side of the equation. 34 + -34 + -4v = 30 + -34 Combine like terms: 34 + -34 = 0 0 + -4v = 30 + -34 -4v = 30 + -34 Combine like terms: 30 + -34 = -4 -4v = -4 Divide each side by '-4'. v = 1 Simplifying v = 1
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