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Simplifying 117 = -6v + -3(3 + 5v) 117 = -6v + (3 * -3 + 5v * -3) 117 = -6v + (-9 + -15v) Reorder the terms: 117 = -9 + -6v + -15v Combine like terms: -6v + -15v = -21v 117 = -9 + -21v Solving 117 = -9 + -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 = -9 + -21v + 21v Combine like terms: -21v + 21v = 0 117 + 21v = -9 + 0 117 + 21v = -9 Add '-117' to each side of the equation. 117 + -117 + 21v = -9 + -117 Combine like terms: 117 + -117 = 0 0 + 21v = -9 + -117 21v = -9 + -117 Combine like terms: -9 + -117 = -126 21v = -126 Divide each side by '21'. v = -6 Simplifying v = -6
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