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Simplifying -91 = -7 + -7(2v + 6) Reorder the terms: -91 = -7 + -7(6 + 2v) -91 = -7 + (6 * -7 + 2v * -7) -91 = -7 + (-42 + -14v) Combine like terms: -7 + -42 = -49 -91 = -49 + -14v Solving -91 = -49 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -91 + 14v = -49 + -14v + 14v Combine like terms: -14v + 14v = 0 -91 + 14v = -49 + 0 -91 + 14v = -49 Add '91' to each side of the equation. -91 + 91 + 14v = -49 + 91 Combine like terms: -91 + 91 = 0 0 + 14v = -49 + 91 14v = -49 + 91 Combine like terms: -49 + 91 = 42 14v = 42 Divide each side by '14'. v = 3 Simplifying v = 3
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