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