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