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Simplifying -16(6u + -3v + 7w) = 0 (6u * -16 + -3v * -16 + 7w * -16) = 0 (-96u + 48v + -112w) = 0 Solving -96u + 48v + -112w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-48v' to each side of the equation. -96u + 48v + -48v + -112w = 0 + -48v Combine like terms: 48v + -48v = 0 -96u + 0 + -112w = 0 + -48v -96u + -112w = 0 + -48v Remove the zero: -96u + -112w = -48v Add '112w' to each side of the equation. -96u + -112w + 112w = -48v + 112w Combine like terms: -112w + 112w = 0 -96u + 0 = -48v + 112w -96u = -48v + 112w Divide each side by '-96'. u = 0.5v + -1.166666667w Simplifying u = 0.5v + -1.166666667w
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