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Simplifying 22 + -5v = -8v + -1(5v + 2) Reorder the terms: 22 + -5v = -8v + -1(2 + 5v) 22 + -5v = -8v + (2 * -1 + 5v * -1) 22 + -5v = -8v + (-2 + -5v) Reorder the terms: 22 + -5v = -2 + -8v + -5v Combine like terms: -8v + -5v = -13v 22 + -5v = -2 + -13v Solving 22 + -5v = -2 + -13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13v' to each side of the equation. 22 + -5v + 13v = -2 + -13v + 13v Combine like terms: -5v + 13v = 8v 22 + 8v = -2 + -13v + 13v Combine like terms: -13v + 13v = 0 22 + 8v = -2 + 0 22 + 8v = -2 Add '-22' to each side of the equation. 22 + -22 + 8v = -2 + -22 Combine like terms: 22 + -22 = 0 0 + 8v = -2 + -22 8v = -2 + -22 Combine like terms: -2 + -22 = -24 8v = -24 Divide each side by '8'. v = -3 Simplifying v = -3
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