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Simplifying -4(2v + -4w + -5) = 0 Reorder the terms: -4(-5 + 2v + -4w) = 0 (-5 * -4 + 2v * -4 + -4w * -4) = 0 (20 + -8v + 16w) = 0 Solving 20 + -8v + 16w = 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 + -8v + -20 + 16w = 0 + -20 Reorder the terms: 20 + -20 + -8v + 16w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -8v + 16w = 0 + -20 -8v + 16w = 0 + -20 Combine like terms: 0 + -20 = -20 -8v + 16w = -20 Add '-16w' to each side of the equation. -8v + 16w + -16w = -20 + -16w Combine like terms: 16w + -16w = 0 -8v + 0 = -20 + -16w -8v = -20 + -16w Divide each side by '-8'. v = 2.5 + 2w Simplifying v = 2.5 + 2w
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