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Simplifying 4(v + w + 5) = 0 Reorder the terms: 4(5 + v + w) = 0 (5 * 4 + v * 4 + w * 4) = 0 (20 + 4v + 4w) = 0 Solving 20 + 4v + 4w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 4v + -20 + 4w = 0 + -20 Reorder the terms: 20 + -20 + 4v + 4w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4v + 4w = 0 + -20 4v + 4w = 0 + -20 Combine like terms: 0 + -20 = -20 4v + 4w = -20 Add '-4w' to each side of the equation. 4v + 4w + -4w = -20 + -4w Combine like terms: 4w + -4w = 0 4v + 0 = -20 + -4w 4v = -20 + -4w Divide each side by '4'. v = -5 + -1w Simplifying v = -5 + -1w
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