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