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Simplifying 3(v + -1) = -2v + -48 Reorder the terms: 3(-1 + v) = -2v + -48 (-1 * 3 + v * 3) = -2v + -48 (-3 + 3v) = -2v + -48 Reorder the terms: -3 + 3v = -48 + -2v Solving -3 + 3v = -48 + -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 = -48 + -2v + 2v Combine like terms: 3v + 2v = 5v -3 + 5v = -48 + -2v + 2v Combine like terms: -2v + 2v = 0 -3 + 5v = -48 + 0 -3 + 5v = -48 Add '3' to each side of the equation. -3 + 3 + 5v = -48 + 3 Combine like terms: -3 + 3 = 0 0 + 5v = -48 + 3 5v = -48 + 3 Combine like terms: -48 + 3 = -45 5v = -45 Divide each side by '5'. v = -9 Simplifying v = -9
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