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Simplifying 4(v + -2) = 2v + 10 Reorder the terms: 4(-2 + v) = 2v + 10 (-2 * 4 + v * 4) = 2v + 10 (-8 + 4v) = 2v + 10 Reorder the terms: -8 + 4v = 10 + 2v Solving -8 + 4v = 10 + 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. -8 + 4v + -2v = 10 + 2v + -2v Combine like terms: 4v + -2v = 2v -8 + 2v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 -8 + 2v = 10 + 0 -8 + 2v = 10 Add '8' to each side of the equation. -8 + 8 + 2v = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2v = 10 + 8 2v = 10 + 8 Combine like terms: 10 + 8 = 18 2v = 18 Divide each side by '2'. v = 9 Simplifying v = 9
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