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Simplifying 8 = 4v + 5(v + -2) Reorder the terms: 8 = 4v + 5(-2 + v) 8 = 4v + (-2 * 5 + v * 5) 8 = 4v + (-10 + 5v) Reorder the terms: 8 = -10 + 4v + 5v Combine like terms: 4v + 5v = 9v 8 = -10 + 9v Solving 8 = -10 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 8 + -9v = -10 + 9v + -9v Combine like terms: 9v + -9v = 0 8 + -9v = -10 + 0 8 + -9v = -10 Add '-8' to each side of the equation. 8 + -8 + -9v = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9v = -10 + -8 -9v = -10 + -8 Combine like terms: -10 + -8 = -18 -9v = -18 Divide each side by '-9'. v = 2 Simplifying v = 2
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