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Simplifying -3(v + -4) = -9v + 48 Reorder the terms: -3(-4 + v) = -9v + 48 (-4 * -3 + v * -3) = -9v + 48 (12 + -3v) = -9v + 48 Reorder the terms: 12 + -3v = 48 + -9v Solving 12 + -3v = 48 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 12 + -3v + 9v = 48 + -9v + 9v Combine like terms: -3v + 9v = 6v 12 + 6v = 48 + -9v + 9v Combine like terms: -9v + 9v = 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 = 36 6v = 36 Divide each side by '6'. v = 6 Simplifying v = 6
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