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Simplifying -13 = -5v + 3(v + -5) Reorder the terms: -13 = -5v + 3(-5 + v) -13 = -5v + (-5 * 3 + v * 3) -13 = -5v + (-15 + 3v) Reorder the terms: -13 = -15 + -5v + 3v Combine like terms: -5v + 3v = -2v -13 = -15 + -2v Solving -13 = -15 + -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. -13 + 2v = -15 + -2v + 2v Combine like terms: -2v + 2v = 0 -13 + 2v = -15 + 0 -13 + 2v = -15 Add '13' to each side of the equation. -13 + 13 + 2v = -15 + 13 Combine like terms: -13 + 13 = 0 0 + 2v = -15 + 13 2v = -15 + 13 Combine like terms: -15 + 13 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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