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Simplifying 4(v + -3) = -2v + 48 Reorder the terms: 4(-3 + v) = -2v + 48 (-3 * 4 + v * 4) = -2v + 48 (-12 + 4v) = -2v + 48 Reorder the terms: -12 + 4v = 48 + -2v Solving -12 + 4v = 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. -12 + 4v + 2v = 48 + -2v + 2v Combine like terms: 4v + 2v = 6v -12 + 6v = 48 + -2v + 2v Combine like terms: -2v + 2v = 0 -12 + 6v = 48 + 0 -12 + 6v = 48 Add '12' to each side of the equation. -12 + 12 + 6v = 48 + 12 Combine like terms: -12 + 12 = 0 0 + 6v = 48 + 12 6v = 48 + 12 Combine like terms: 48 + 12 = 60 6v = 60 Divide each side by '6'. v = 10 Simplifying v = 10
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