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Simplifying 5 + 3(v + -2) = 3 + -1v Reorder the terms: 5 + 3(-2 + v) = 3 + -1v 5 + (-2 * 3 + v * 3) = 3 + -1v 5 + (-6 + 3v) = 3 + -1v Combine like terms: 5 + -6 = -1 -1 + 3v = 3 + -1v Solving -1 + 3v = 3 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -1 + 3v + v = 3 + -1v + v Combine like terms: 3v + v = 4v -1 + 4v = 3 + -1v + v Combine like terms: -1v + v = 0 -1 + 4v = 3 + 0 -1 + 4v = 3 Add '1' to each side of the equation. -1 + 1 + 4v = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 4v = 3 + 1 4v = 3 + 1 Combine like terms: 3 + 1 = 4 4v = 4 Divide each side by '4'. v = 1 Simplifying v = 1
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