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Simplifying -4v + 22 = 2 + -8(v + -4) Reorder the terms: 22 + -4v = 2 + -8(v + -4) Reorder the terms: 22 + -4v = 2 + -8(-4 + v) 22 + -4v = 2 + (-4 * -8 + v * -8) 22 + -4v = 2 + (32 + -8v) Combine like terms: 2 + 32 = 34 22 + -4v = 34 + -8v Solving 22 + -4v = 34 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 22 + -4v + 8v = 34 + -8v + 8v Combine like terms: -4v + 8v = 4v 22 + 4v = 34 + -8v + 8v Combine like terms: -8v + 8v = 0 22 + 4v = 34 + 0 22 + 4v = 34 Add '-22' to each side of the equation. 22 + -22 + 4v = 34 + -22 Combine like terms: 22 + -22 = 0 0 + 4v = 34 + -22 4v = 34 + -22 Combine like terms: 34 + -22 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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