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Simplifying 3(v + -4) = -9v + 36 Reorder the terms: 3(-4 + v) = -9v + 36 (-4 * 3 + v * 3) = -9v + 36 (-12 + 3v) = -9v + 36 Reorder the terms: -12 + 3v = 36 + -9v Solving -12 + 3v = 36 + -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 = 36 + -9v + 9v Combine like terms: 3v + 9v = 12v -12 + 12v = 36 + -9v + 9v Combine like terms: -9v + 9v = 0 -12 + 12v = 36 + 0 -12 + 12v = 36 Add '12' to each side of the equation. -12 + 12 + 12v = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 12v = 36 + 12 12v = 36 + 12 Combine like terms: 36 + 12 = 48 12v = 48 Divide each side by '12'. v = 4 Simplifying v = 4
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