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Simplifying -2 = 3v + 5(v + -2) Reorder the terms: -2 = 3v + 5(-2 + v) -2 = 3v + (-2 * 5 + v * 5) -2 = 3v + (-10 + 5v) Reorder the terms: -2 = -10 + 3v + 5v Combine like terms: 3v + 5v = 8v -2 = -10 + 8v Solving -2 = -10 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -2 + -8v = -10 + 8v + -8v Combine like terms: 8v + -8v = 0 -2 + -8v = -10 + 0 -2 + -8v = -10 Add '2' to each side of the equation. -2 + 2 + -8v = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -8v = -10 + 2 -8v = -10 + 2 Combine like terms: -10 + 2 = -8 -8v = -8 Divide each side by '-8'. v = 1 Simplifying v = 1
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