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Simplifying 8 + -1(v + 3) = 5v + -5 Reorder the terms: 8 + -1(3 + v) = 5v + -5 8 + (3 * -1 + v * -1) = 5v + -5 8 + (-3 + -1v) = 5v + -5 Combine like terms: 8 + -3 = 5 5 + -1v = 5v + -5 Reorder the terms: 5 + -1v = -5 + 5v Solving 5 + -1v = -5 + 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. 5 + -1v + -5v = -5 + 5v + -5v Combine like terms: -1v + -5v = -6v 5 + -6v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 5 + -6v = -5 + 0 5 + -6v = -5 Add '-5' to each side of the equation. 5 + -5 + -6v = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -6v = -5 + -5 -6v = -5 + -5 Combine like terms: -5 + -5 = -10 -6v = -10 Divide each side by '-6'. v = 1.666666667 Simplifying v = 1.666666667
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