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Simplifying -91 = 6(v + -7) + -1 Reorder the terms: -91 = 6(-7 + v) + -1 -91 = (-7 * 6 + v * 6) + -1 -91 = (-42 + 6v) + -1 Reorder the terms: -91 = -42 + -1 + 6v Combine like terms: -42 + -1 = -43 -91 = -43 + 6v Solving -91 = -43 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -91 + -6v = -43 + 6v + -6v Combine like terms: 6v + -6v = 0 -91 + -6v = -43 + 0 -91 + -6v = -43 Add '91' to each side of the equation. -91 + 91 + -6v = -43 + 91 Combine like terms: -91 + 91 = 0 0 + -6v = -43 + 91 -6v = -43 + 91 Combine like terms: -43 + 91 = 48 -6v = 48 Divide each side by '-6'. v = -8 Simplifying v = -8
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