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Simplifying -297 = 4 + 7(-5v + -8) Reorder the terms: -297 = 4 + 7(-8 + -5v) -297 = 4 + (-8 * 7 + -5v * 7) -297 = 4 + (-56 + -35v) Combine like terms: 4 + -56 = -52 -297 = -52 + -35v Solving -297 = -52 + -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. -297 + 35v = -52 + -35v + 35v Combine like terms: -35v + 35v = 0 -297 + 35v = -52 + 0 -297 + 35v = -52 Add '297' to each side of the equation. -297 + 297 + 35v = -52 + 297 Combine like terms: -297 + 297 = 0 0 + 35v = -52 + 297 35v = -52 + 297 Combine like terms: -52 + 297 = 245 35v = 245 Divide each side by '35'. v = 7 Simplifying v = 7
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