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Simplifying 5(v + -7) = -6v + -46 Reorder the terms: 5(-7 + v) = -6v + -46 (-7 * 5 + v * 5) = -6v + -46 (-35 + 5v) = -6v + -46 Reorder the terms: -35 + 5v = -46 + -6v Solving -35 + 5v = -46 + -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. -35 + 5v + 6v = -46 + -6v + 6v Combine like terms: 5v + 6v = 11v -35 + 11v = -46 + -6v + 6v Combine like terms: -6v + 6v = 0 -35 + 11v = -46 + 0 -35 + 11v = -46 Add '35' to each side of the equation. -35 + 35 + 11v = -46 + 35 Combine like terms: -35 + 35 = 0 0 + 11v = -46 + 35 11v = -46 + 35 Combine like terms: -46 + 35 = -11 11v = -11 Divide each side by '11'. v = -1 Simplifying v = -1
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