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Simplifying -13 = -2v + 5(v + -2) Reorder the terms: -13 = -2v + 5(-2 + v) -13 = -2v + (-2 * 5 + v * 5) -13 = -2v + (-10 + 5v) Reorder the terms: -13 = -10 + -2v + 5v Combine like terms: -2v + 5v = 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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