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Simplifying 5(v + -2) = 2v + -7 Reorder the terms: 5(-2 + v) = 2v + -7 (-2 * 5 + v * 5) = 2v + -7 (-10 + 5v) = 2v + -7 Reorder the terms: -10 + 5v = -7 + 2v Solving -10 + 5v = -7 + 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 + 5v + -2v = -7 + 2v + -2v Combine like terms: 5v + -2v = 3v -10 + 3v = -7 + 2v + -2v Combine like terms: 2v + -2v = 0 -10 + 3v = -7 + 0 -10 + 3v = -7 Add '10' to each side of the equation. -10 + 10 + 3v = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 3v = -7 + 10 3v = -7 + 10 Combine like terms: -7 + 10 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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