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Simplifying -4(v + 7) = 2v + -22 Reorder the terms: -4(7 + v) = 2v + -22 (7 * -4 + v * -4) = 2v + -22 (-28 + -4v) = 2v + -22 Reorder the terms: -28 + -4v = -22 + 2v Solving -28 + -4v = -22 + 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. -28 + -4v + -2v = -22 + 2v + -2v Combine like terms: -4v + -2v = -6v -28 + -6v = -22 + 2v + -2v Combine like terms: 2v + -2v = 0 -28 + -6v = -22 + 0 -28 + -6v = -22 Add '28' to each side of the equation. -28 + 28 + -6v = -22 + 28 Combine like terms: -28 + 28 = 0 0 + -6v = -22 + 28 -6v = -22 + 28 Combine like terms: -22 + 28 = 6 -6v = 6 Divide each side by '-6'. v = -1 Simplifying v = -1
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