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Simplifying -7(v + 1) = -2v + -22 Reorder the terms: -7(1 + v) = -2v + -22 (1 * -7 + v * -7) = -2v + -22 (-7 + -7v) = -2v + -22 Reorder the terms: -7 + -7v = -22 + -2v Solving -7 + -7v = -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. -7 + -7v + 2v = -22 + -2v + 2v Combine like terms: -7v + 2v = -5v -7 + -5v = -22 + -2v + 2v Combine like terms: -2v + 2v = 0 -7 + -5v = -22 + 0 -7 + -5v = -22 Add '7' to each side of the equation. -7 + 7 + -5v = -22 + 7 Combine like terms: -7 + 7 = 0 0 + -5v = -22 + 7 -5v = -22 + 7 Combine like terms: -22 + 7 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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