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Simplifying -9v + 13 = -5(v + -1) Reorder the terms: 13 + -9v = -5(v + -1) Reorder the terms: 13 + -9v = -5(-1 + v) 13 + -9v = (-1 * -5 + v * -5) 13 + -9v = (5 + -5v) Solving 13 + -9v = 5 + -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. 13 + -9v + 5v = 5 + -5v + 5v Combine like terms: -9v + 5v = -4v 13 + -4v = 5 + -5v + 5v Combine like terms: -5v + 5v = 0 13 + -4v = 5 + 0 13 + -4v = 5 Add '-13' to each side of the equation. 13 + -13 + -4v = 5 + -13 Combine like terms: 13 + -13 = 0 0 + -4v = 5 + -13 -4v = 5 + -13 Combine like terms: 5 + -13 = -8 -4v = -8 Divide each side by '-4'. v = 2 Simplifying v = 2
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