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Simplifying -13 = 5(v + -2) + -8v Reorder the terms: -13 = 5(-2 + v) + -8v -13 = (-2 * 5 + v * 5) + -8v -13 = (-10 + 5v) + -8v Combine like terms: 5v + -8v = -3v -13 = -10 + -3v Solving -13 = -10 + -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. -13 + 3v = -10 + -3v + 3v Combine like terms: -3v + 3v = 0 -13 + 3v = -10 + 0 -13 + 3v = -10 Add '13' to each side of the equation. -13 + 13 + 3v = -10 + 13 Combine like terms: -13 + 13 = 0 0 + 3v = -10 + 13 3v = -10 + 13 Combine like terms: -10 + 13 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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