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Simplifying -3(v + 2) = 3v + 48 Reorder the terms: -3(2 + v) = 3v + 48 (2 * -3 + v * -3) = 3v + 48 (-6 + -3v) = 3v + 48 Reorder the terms: -6 + -3v = 48 + 3v Solving -6 + -3v = 48 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -6 + -3v + -3v = 48 + 3v + -3v Combine like terms: -3v + -3v = -6v -6 + -6v = 48 + 3v + -3v Combine like terms: 3v + -3v = 0 -6 + -6v = 48 + 0 -6 + -6v = 48 Add '6' to each side of the equation. -6 + 6 + -6v = 48 + 6 Combine like terms: -6 + 6 = 0 0 + -6v = 48 + 6 -6v = 48 + 6 Combine like terms: 48 + 6 = 54 -6v = 54 Divide each side by '-6'. v = -9 Simplifying v = -9
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