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Simplifying 115 = -5 + 5(-4v + 8) Reorder the terms: 115 = -5 + 5(8 + -4v) 115 = -5 + (8 * 5 + -4v * 5) 115 = -5 + (40 + -20v) Combine like terms: -5 + 40 = 35 115 = 35 + -20v Solving 115 = 35 + -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. 115 + 20v = 35 + -20v + 20v Combine like terms: -20v + 20v = 0 115 + 20v = 35 + 0 115 + 20v = 35 Add '-115' to each side of the equation. 115 + -115 + 20v = 35 + -115 Combine like terms: 115 + -115 = 0 0 + 20v = 35 + -115 20v = 35 + -115 Combine like terms: 35 + -115 = -80 20v = -80 Divide each side by '20'. v = -4 Simplifying v = -4
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