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Simplifying 12 = 3(v + -8) + -7v Reorder the terms: 12 = 3(-8 + v) + -7v 12 = (-8 * 3 + v * 3) + -7v 12 = (-24 + 3v) + -7v Combine like terms: 3v + -7v = -4v 12 = -24 + -4v Solving 12 = -24 + -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. 12 + 4v = -24 + -4v + 4v Combine like terms: -4v + 4v = 0 12 + 4v = -24 + 0 12 + 4v = -24 Add '-12' to each side of the equation. 12 + -12 + 4v = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 4v = -24 + -12 4v = -24 + -12 Combine like terms: -24 + -12 = -36 4v = -36 Divide each side by '4'. v = -9 Simplifying v = -9
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