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Simplifying -1v + 4(1 + 8v) = -22 + 5v -1v + (1 * 4 + 8v * 4) = -22 + 5v -1v + (4 + 32v) = -22 + 5v Reorder the terms: 4 + -1v + 32v = -22 + 5v Combine like terms: -1v + 32v = 31v 4 + 31v = -22 + 5v Solving 4 + 31v = -22 + 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. 4 + 31v + -5v = -22 + 5v + -5v Combine like terms: 31v + -5v = 26v 4 + 26v = -22 + 5v + -5v Combine like terms: 5v + -5v = 0 4 + 26v = -22 + 0 4 + 26v = -22 Add '-4' to each side of the equation. 4 + -4 + 26v = -22 + -4 Combine like terms: 4 + -4 = 0 0 + 26v = -22 + -4 26v = -22 + -4 Combine like terms: -22 + -4 = -26 26v = -26 Divide each side by '26'. v = -1 Simplifying v = -1
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