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