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Simplifying 6(v + -7) = -4v + -22 Reorder the terms: 6(-7 + v) = -4v + -22 (-7 * 6 + v * 6) = -4v + -22 (-42 + 6v) = -4v + -22 Reorder the terms: -42 + 6v = -22 + -4v Solving -42 + 6v = -22 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -42 + 6v + 4v = -22 + -4v + 4v Combine like terms: 6v + 4v = 10v -42 + 10v = -22 + -4v + 4v Combine like terms: -4v + 4v = 0 -42 + 10v = -22 + 0 -42 + 10v = -22 Add '42' to each side of the equation. -42 + 42 + 10v = -22 + 42 Combine like terms: -42 + 42 = 0 0 + 10v = -22 + 42 10v = -22 + 42 Combine like terms: -22 + 42 = 20 10v = 20 Divide each side by '10'. v = 2 Simplifying v = 2
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