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Simplifying 8v + -2(v + 5) = 2(v + -1) Reorder the terms: 8v + -2(5 + v) = 2(v + -1) 8v + (5 * -2 + v * -2) = 2(v + -1) 8v + (-10 + -2v) = 2(v + -1) Reorder the terms: -10 + 8v + -2v = 2(v + -1) Combine like terms: 8v + -2v = 6v -10 + 6v = 2(v + -1) Reorder the terms: -10 + 6v = 2(-1 + v) -10 + 6v = (-1 * 2 + v * 2) -10 + 6v = (-2 + 2v) Solving -10 + 6v = -2 + 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. -10 + 6v + -2v = -2 + 2v + -2v Combine like terms: 6v + -2v = 4v -10 + 4v = -2 + 2v + -2v Combine like terms: 2v + -2v = 0 -10 + 4v = -2 + 0 -10 + 4v = -2 Add '10' to each side of the equation. -10 + 10 + 4v = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 4v = -2 + 10 4v = -2 + 10 Combine like terms: -2 + 10 = 8 4v = 8 Divide each side by '4'. v = 2 Simplifying v = 2
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