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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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