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Simplifying 22 = -7v + 5(v + 6) Reorder the terms: 22 = -7v + 5(6 + v) 22 = -7v + (6 * 5 + v * 5) 22 = -7v + (30 + 5v) Reorder the terms: 22 = 30 + -7v + 5v Combine like terms: -7v + 5v = -2v 22 = 30 + -2v Solving 22 = 30 + -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 = 30 + -2v + 2v Combine like terms: -2v + 2v = 0 22 + 2v = 30 + 0 22 + 2v = 30 Add '-22' to each side of the equation. 22 + -22 + 2v = 30 + -22 Combine like terms: 22 + -22 = 0 0 + 2v = 30 + -22 2v = 30 + -22 Combine like terms: 30 + -22 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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