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Simplifying -338 = -2 + -7(5v + 8) Reorder the terms: -338 = -2 + -7(8 + 5v) -338 = -2 + (8 * -7 + 5v * -7) -338 = -2 + (-56 + -35v) Combine like terms: -2 + -56 = -58 -338 = -58 + -35v Solving -338 = -58 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. -338 + 35v = -58 + -35v + 35v Combine like terms: -35v + 35v = 0 -338 + 35v = -58 + 0 -338 + 35v = -58 Add '338' to each side of the equation. -338 + 338 + 35v = -58 + 338 Combine like terms: -338 + 338 = 0 0 + 35v = -58 + 338 35v = -58 + 338 Combine like terms: -58 + 338 = 280 35v = 280 Divide each side by '35'. v = 8 Simplifying v = 8
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