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Simplifying 117 = -3(8v + -4) + 3v Reorder the terms: 117 = -3(-4 + 8v) + 3v 117 = (-4 * -3 + 8v * -3) + 3v 117 = (12 + -24v) + 3v Combine like terms: -24v + 3v = -21v 117 = 12 + -21v Solving 117 = 12 + -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. 117 + 21v = 12 + -21v + 21v Combine like terms: -21v + 21v = 0 117 + 21v = 12 + 0 117 + 21v = 12 Add '-117' to each side of the equation. 117 + -117 + 21v = 12 + -117 Combine like terms: 117 + -117 = 0 0 + 21v = 12 + -117 21v = 12 + -117 Combine like terms: 12 + -117 = -105 21v = -105 Divide each side by '21'. v = -5 Simplifying v = -5
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