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Simplifying 5v + 8 = 3(v + -4) Reorder the terms: 8 + 5v = 3(v + -4) Reorder the terms: 8 + 5v = 3(-4 + v) 8 + 5v = (-4 * 3 + v * 3) 8 + 5v = (-12 + 3v) Solving 8 + 5v = -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. 8 + 5v + -3v = -12 + 3v + -3v Combine like terms: 5v + -3v = 2v 8 + 2v = -12 + 3v + -3v Combine like terms: 3v + -3v = 0 8 + 2v = -12 + 0 8 + 2v = -12 Add '-8' to each side of the equation. 8 + -8 + 2v = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 2v = -12 + -8 2v = -12 + -8 Combine like terms: -12 + -8 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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