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Simplifying 3v + 0.5(2v + -10 + 8) = 17 Reorder the terms: 3v + 0.5(-10 + 8 + 2v) = 17 Combine like terms: -10 + 8 = -2 3v + 0.5(-2 + 2v) = 17 3v + (-2 * 0.5 + 2v * 0.5) = 17 3v + (-1 + 1v) = 17 Reorder the terms: -1 + 3v + 1v = 17 Combine like terms: 3v + 1v = 4v -1 + 4v = 17 Solving -1 + 4v = 17 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4v = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 4v = 17 + 1 4v = 17 + 1 Combine like terms: 17 + 1 = 18 4v = 18 Divide each side by '4'. v = 4.5 Simplifying v = 4.5
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