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Simplifying 7v + -22 = 5(v + -4) Reorder the terms: -22 + 7v = 5(v + -4) Reorder the terms: -22 + 7v = 5(-4 + v) -22 + 7v = (-4 * 5 + v * 5) -22 + 7v = (-20 + 5v) Solving -22 + 7v = -20 + 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. -22 + 7v + -5v = -20 + 5v + -5v Combine like terms: 7v + -5v = 2v -22 + 2v = -20 + 5v + -5v Combine like terms: 5v + -5v = 0 -22 + 2v = -20 + 0 -22 + 2v = -20 Add '22' to each side of the equation. -22 + 22 + 2v = -20 + 22 Combine like terms: -22 + 22 = 0 0 + 2v = -20 + 22 2v = -20 + 22 Combine like terms: -20 + 22 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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