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