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Simplifying -8(3w + -4v + -6) = 0 Reorder the terms: -8(-6 + -4v + 3w) = 0 (-6 * -8 + -4v * -8 + 3w * -8) = 0 (48 + 32v + -24w) = 0 Solving 48 + 32v + -24w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 32v + -48 + -24w = 0 + -48 Reorder the terms: 48 + -48 + 32v + -24w = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 32v + -24w = 0 + -48 32v + -24w = 0 + -48 Combine like terms: 0 + -48 = -48 32v + -24w = -48 Add '24w' to each side of the equation. 32v + -24w + 24w = -48 + 24w Combine like terms: -24w + 24w = 0 32v + 0 = -48 + 24w 32v = -48 + 24w Divide each side by '32'. v = -1.5 + 0.75w Simplifying v = -1.5 + 0.75w
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