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Simplifying -91 = 7v + -7(6v + -7) Reorder the terms: -91 = 7v + -7(-7 + 6v) -91 = 7v + (-7 * -7 + 6v * -7) -91 = 7v + (49 + -42v) Reorder the terms: -91 = 49 + 7v + -42v Combine like terms: 7v + -42v = -35v -91 = 49 + -35v Solving -91 = 49 + -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. -91 + 35v = 49 + -35v + 35v Combine like terms: -35v + 35v = 0 -91 + 35v = 49 + 0 -91 + 35v = 49 Add '91' to each side of the equation. -91 + 91 + 35v = 49 + 91 Combine like terms: -91 + 91 = 0 0 + 35v = 49 + 91 35v = 49 + 91 Combine like terms: 49 + 91 = 140 35v = 140 Divide each side by '35'. v = 4 Simplifying v = 4
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