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Simplifying 8 = -7v + 3(v + -4) Reorder the terms: 8 = -7v + 3(-4 + v) 8 = -7v + (-4 * 3 + v * 3) 8 = -7v + (-12 + 3v) Reorder the terms: 8 = -12 + -7v + 3v Combine like terms: -7v + 3v = -4v 8 = -12 + -4v Solving 8 = -12 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 8 + 4v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 8 + 4v = -12 + 0 8 + 4v = -12 Add '-8' to each side of the equation. 8 + -8 + 4v = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4v = -12 + -8 4v = -12 + -8 Combine like terms: -12 + -8 = -20 4v = -20 Divide each side by '4'. v = -5 Simplifying v = -5
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