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Simplifying 12 = -8v + 4(4v + -6) Reorder the terms: 12 = -8v + 4(-6 + 4v) 12 = -8v + (-6 * 4 + 4v * 4) 12 = -8v + (-24 + 16v) Reorder the terms: 12 = -24 + -8v + 16v Combine like terms: -8v + 16v = 8v 12 = -24 + 8v Solving 12 = -24 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 12 + -8v = -24 + 8v + -8v Combine like terms: 8v + -8v = 0 12 + -8v = -24 + 0 12 + -8v = -24 Add '-12' to each side of the equation. 12 + -12 + -8v = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -8v = -24 + -12 -8v = -24 + -12 Combine like terms: -24 + -12 = -36 -8v = -36 Divide each side by '-8'. v = 4.5 Simplifying v = 4.5
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