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Simplifying -9v + 48 = 3(v + -4) Reorder the terms: 48 + -9v = 3(v + -4) Reorder the terms: 48 + -9v = 3(-4 + v) 48 + -9v = (-4 * 3 + v * 3) 48 + -9v = (-12 + 3v) Solving 48 + -9v = -12 + 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. 48 + -9v + -3v = -12 + 3v + -3v Combine like terms: -9v + -3v = -12v 48 + -12v = -12 + 3v + -3v Combine like terms: 3v + -3v = 0 48 + -12v = -12 + 0 48 + -12v = -12 Add '-48' to each side of the equation. 48 + -48 + -12v = -12 + -48 Combine like terms: 48 + -48 = 0 0 + -12v = -12 + -48 -12v = -12 + -48 Combine like terms: -12 + -48 = -60 -12v = -60 Divide each side by '-12'. v = 5 Simplifying v = 5
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