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Simplifying 8 = -7v + 4(v + -4) Reorder the terms: 8 = -7v + 4(-4 + v) 8 = -7v + (-4 * 4 + v * 4) 8 = -7v + (-16 + 4v) Reorder the terms: 8 = -16 + -7v + 4v Combine like terms: -7v + 4v = -3v 8 = -16 + -3v Solving 8 = -16 + -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 + 3v = -16 + -3v + 3v Combine like terms: -3v + 3v = 0 8 + 3v = -16 + 0 8 + 3v = -16 Add '-8' to each side of the equation. 8 + -8 + 3v = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 3v = -16 + -8 3v = -16 + -8 Combine like terms: -16 + -8 = -24 3v = -24 Divide each side by '3'. v = -8 Simplifying v = -8
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