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Simplifying -22 = -8v + 6(v + -7) Reorder the terms: -22 = -8v + 6(-7 + v) -22 = -8v + (-7 * 6 + v * 6) -22 = -8v + (-42 + 6v) Reorder the terms: -22 = -42 + -8v + 6v Combine like terms: -8v + 6v = -2v -22 = -42 + -2v Solving -22 = -42 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -22 + 2v = -42 + -2v + 2v Combine like terms: -2v + 2v = 0 -22 + 2v = -42 + 0 -22 + 2v = -42 Add '22' to each side of the equation. -22 + 22 + 2v = -42 + 22 Combine like terms: -22 + 22 = 0 0 + 2v = -42 + 22 2v = -42 + 22 Combine like terms: -42 + 22 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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