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Simplifying 8u + 8v + -4(8u + -7v + 8w) = 0 8u + 8v + (8u * -4 + -7v * -4 + 8w * -4) = 0 8u + 8v + (-32u + 28v + -32w) = 0 Reorder the terms: 8u + -32u + 8v + 28v + -32w = 0 Combine like terms: 8u + -32u = -24u -24u + 8v + 28v + -32w = 0 Combine like terms: 8v + 28v = 36v -24u + 36v + -32w = 0 Solving -24u + 36v + -32w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-36v' to each side of the equation. -24u + 36v + -36v + -32w = 0 + -36v Combine like terms: 36v + -36v = 0 -24u + 0 + -32w = 0 + -36v -24u + -32w = 0 + -36v Remove the zero: -24u + -32w = -36v Add '32w' to each side of the equation. -24u + -32w + 32w = -36v + 32w Combine like terms: -32w + 32w = 0 -24u + 0 = -36v + 32w -24u = -36v + 32w Divide each side by '-24'. u = 1.5v + -1.333333333w Simplifying u = 1.5v + -1.333333333w
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