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Simplifying -8(-5w + 4v + -1) = 0 Reorder the terms: -8(-1 + 4v + -5w) = 0 (-1 * -8 + 4v * -8 + -5w * -8) = 0 (8 + -32v + 40w) = 0 Solving 8 + -32v + 40w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -32v + -8 + 40w = 0 + -8 Reorder the terms: 8 + -8 + -32v + 40w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -32v + 40w = 0 + -8 -32v + 40w = 0 + -8 Combine like terms: 0 + -8 = -8 -32v + 40w = -8 Add '-40w' to each side of the equation. -32v + 40w + -40w = -8 + -40w Combine like terms: 40w + -40w = 0 -32v + 0 = -8 + -40w -32v = -8 + -40w Divide each side by '-32'. v = 0.25 + 1.25w Simplifying v = 0.25 + 1.25w
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