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Simplifying 109 = 7 + -2(5 + -8v) 109 = 7 + (5 * -2 + -8v * -2) 109 = 7 + (-10 + 16v) Combine like terms: 7 + -10 = -3 109 = -3 + 16v Solving 109 = -3 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 109 + -16v = -3 + 16v + -16v Combine like terms: 16v + -16v = 0 109 + -16v = -3 + 0 109 + -16v = -3 Add '-109' to each side of the equation. 109 + -109 + -16v = -3 + -109 Combine like terms: 109 + -109 = 0 0 + -16v = -3 + -109 -16v = -3 + -109 Combine like terms: -3 + -109 = -112 -16v = -112 Divide each side by '-16'. v = 7 Simplifying v = 7
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