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Simplifying -119 = v + 8(3v + 7) Reorder the terms: -119 = v + 8(7 + 3v) -119 = v + (7 * 8 + 3v * 8) -119 = v + (56 + 24v) Reorder the terms: -119 = 56 + v + 24v Combine like terms: v + 24v = 25v -119 = 56 + 25v Solving -119 = 56 + 25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25v' to each side of the equation. -119 + -25v = 56 + 25v + -25v Combine like terms: 25v + -25v = 0 -119 + -25v = 56 + 0 -119 + -25v = 56 Add '119' to each side of the equation. -119 + 119 + -25v = 56 + 119 Combine like terms: -119 + 119 = 0 0 + -25v = 56 + 119 -25v = 56 + 119 Combine like terms: 56 + 119 = 175 -25v = 175 Divide each side by '-25'. v = -7 Simplifying v = -7
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