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Simplifying -6(v + -7) = 5v + -46 Reorder the terms: -6(-7 + v) = 5v + -46 (-7 * -6 + v * -6) = 5v + -46 (42 + -6v) = 5v + -46 Reorder the terms: 42 + -6v = -46 + 5v Solving 42 + -6v = -46 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 42 + -6v + -5v = -46 + 5v + -5v Combine like terms: -6v + -5v = -11v 42 + -11v = -46 + 5v + -5v Combine like terms: 5v + -5v = 0 42 + -11v = -46 + 0 42 + -11v = -46 Add '-42' to each side of the equation. 42 + -42 + -11v = -46 + -42 Combine like terms: 42 + -42 = 0 0 + -11v = -46 + -42 -11v = -46 + -42 Combine like terms: -46 + -42 = -88 -11v = -88 Divide each side by '-11'. v = 8 Simplifying v = 8
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